Come up with and describe two scenarios: one that models a direct variation situation and one that models an inverse variation situation. Do not state explicitly which scenario is which, but provide at least four data pairs for each situation. Your classmates will have to determine which of the scenarios is a direct variation and which is an inverse variation, and the value of k for each.

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19 Sep 2019

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A student she started this process, how much money will she have after 39 weeks a) Write the multiplication expression that modes this situation b) Evaluate the expression to anpwer the question Write your currently works part time and each week puts 525 Inta her If she had no money saved when savings jar in her.coom, if she had no meney .savins answer the question Write your answer in a complete contextual sentence. 7. If you deposit S If you deposit $950into an account and the accouet balance increases by,1.8% each yea. a) Write the exponential expression that Write the exponential expression that Write the exponential expression that Evaluate the expression to determine the a cent. Write your answer in a complete contextual sentence. t models this situstion if you leave the money in the models this stuation if you leave the money in the account for twe years b) c) c) mode's this situation if you leave the money in the account for five years expression that mode's this situation if you leave the money in the account for twelve years the amount you have at the end of the 12 year period. Round answer to the nearest honey bee colonies ina 8. The number of honey bee colonies has been decreasn g by about 8.5% each year. If there were 25,000 Write the exponential expression that models how many c) Write the exponential expression that models how many honey bees there would be after tern d) Evaluate the expression to determine how many haney bees there particuiar region a) Write the exponential b) the exponential expression that models how many honey bees there would be ater two years ion that models how many honey bees there would be afer tour years e years efter ten years. Since we are dealing with bees, round apprepriately. Write your answer in a complete contextual sentence. 9. A group of friends went out on Friday nignt for dinner ane erinks. The total bill without tax was $173.s0. The tax rate on restaurant food and alconoUs 625%. T he service et the restaura rt was great and they were a bg goup, so they crose to leave a 22% tip. a) Determine the amount of money they left for the tip b) Determine the total amount that they had to pay for their bil, tax, and tip. 10, According to the American Cancer Society in 2015 estimates that 40,290 women will die from dimensional analysis determine your final answer in a complete contextual sentence. Remember to round appropriately 11. According to an a n 2015 it estlmates that 40290 women will die from breast cancer. Using how many women will de per hour in 2015 due to breast cancer. Show al of your work and write article on the Global Issues.org web site."At least 80% of humanity Ewes on less than S10 a day." Source The population of the world ls about 7.3 billion people as of June 2015. Use these two pieces of information to complete the foliowing a) Write the population of the earth in standard form b) Estimate the number of people that live on less than $10 per day. Show all of your work for the estimace. Remember to use numbers that are easy to work with and do not use a calculator Now use a calculator to determine the number of people that live on less than $10 per day, 12. A large elephant can weigh up to 6,350 klograms, which is There is the belief that elephants are afraid of mice as often depicted in cartoons. Compare the weight of the mouse to determine how many times heavier the elephant is than the mouse. Show all of your work and answer in a complete contextual sentence. 6,350,000 grams. An adult mouse can weigh up to about 40 grams weight of the elephant to the write your

Show transcribed image text A student she started this process, how much money will she have after 39 weeks a) Write the multiplication expression that modes this situation b) Evaluate the expression to anpwer the question Write your currently works part time and each week puts 525 Inta her If she had no money saved when savings jar in her.coom, if she had no meney .savins answer the question Write your answer in a complete contextual sentence. 7. If you deposit S If you deposit $950into an account and the accouet balance increases by,1.8% each yea. a) Write the exponential expression that Write the exponential expression that Write the exponential expression that Evaluate the expression to determine the a cent. Write your answer in a complete contextual sentence. t models this situstion if you leave the money in the models this stuation if you leave the money in the account for twe years b) c) c) mode's this situation if you leave the money in the account for five years expression that mode's this situation if you leave the money in the account for twelve years the amount you have at the end of the 12 year period. Round answer to the nearest honey bee colonies ina 8. The number of honey bee colonies has been decreasn g by about 8.5% each year. If there were 25,000 Write the exponential expression that models how many c) Write the exponential expression that models how many honey bees there would be after tern d) Evaluate the expression to determine how many haney bees there particuiar region a) Write the exponential b) the exponential expression that models how many honey bees there would be ater two years ion that models how many honey bees there would be afer tour years e years efter ten years. Since we are dealing with bees, round apprepriately. Write your answer in a complete contextual sentence. 9. A group of friends went out on Friday nignt for dinner ane erinks. The total bill without tax was $173.s0. The tax rate on restaurant food and alconoUs 625%. T he service et the restaura rt was great and they were a bg goup, so they crose to leave a 22% tip. a) Determine the amount of money they left for the tip b) Determine the total amount that they had to pay for their bil, tax, and tip. 10, According to the American Cancer Society in 2015 estimates that 40,290 women will die from dimensional analysis determine your final answer in a complete contextual sentence. Remember to round appropriately 11. According to an a n 2015 it estlmates that 40290 women will die from breast cancer. Using how many women will de per hour in 2015 due to breast cancer. Show al of your work and write article on the Global Issues.org web site."At least 80% of humanity Ewes on less than S10 a day." Source The population of the world ls about 7.3 billion people as of June 2015. Use these two pieces of information to complete the foliowing a) Write the population of the earth in standard form b) Estimate the number of people that live on less than $10 per day. Show all of your work for the estimace. Remember to use numbers that are easy to work with and do not use a calculator Now use a calculator to determine the number of people that live on less than $10 per day, 12. A large elephant can weigh up to 6,350 klograms, which is There is the belief that elephants are afraid of mice as often depicted in cartoons. Compare the weight of the mouse to determine how many times heavier the elephant is than the mouse. Show all of your work and answer in a complete contextual sentence. 6,350,000 grams. An adult mouse can weigh up to about 40 grams weight of the elephant to the write your

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must understand functions to be able linearize. First let's review what graphs of certain functions looks like. Sketch the shape of each type of y vs. x function below. k is listed as a generic constant of proportionally. Linear y = kx Inverse y = k/x Inverse Square y = k/x^2 Power y = kx^2 You will notice that only the linear function is a straight line. We can easily find the slope of our line by measuring the rise and dividing it by the run of the graph or calculating it using two points. The value of the slope should equal the constant, k, from the equation. Finding k is a bit more challenging in the last three graphs because the slope isn't constant. This should make sense since your graphs aren't linear. So how do you calculate the constant, k? You need to transform the non-linear graph into a linear graph in order to calculate a constant slope. You can accomplish this by transforming one or both of the axes for the graph. The hardest part is figuring out which axes to change and how to change them. The easiest way to accomplish this task is to solve your equation for the constant. Note in the examples from the last page there is only one constant, but this process could be done for other equations with multiple constants. Instead of solving for a single constant, put all of the constants on one side of the equation. When you solve for the constant, the other side of the equation should be in fraction form. This fraction gives the rise and run of the linear graph. Whatever is in the numerator is the vertical axis and the denominator is the horizontal axis. If the equation is not in fraction form, you will need to inverse one or more of the variables to make a fraction. First let's solve each equation to figure out what we should graph. Then look below at the example and complete the last one, a sample AP question, on your own. State what should be graphed in order to produce a linear graph to solve for k. Inverse Graph Vertical Axis: _____ Horizontal Axis: _____ Inverse Square Graph Vertical Axis: _____ Horizontal Axis: _____ Power (Square) Graph Vertical Axis: _____ Horizontal Axis: _____

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This question addresses inverse transformations from a conceptual standpoint, a. Suppose that a linear transformation T: x rightarrow Ax from A to A takes some nonzero vector x to 0. Can this transformation be reversed? Does A exist? Suppose that a linear transformation T: x rightarrow Ax from is not one-to-one. What does that tell you about the set of vectors b that can be produced by applying the transformation T to all vectors x in A? How do you know, in that case, that the transformation T is not reversible (i.e. that there does not exist an inverse transformation with the standard matrix A-1 that can be applied to the result of Ax to restore the vector x to its original value)? Suppose that a linear transformation T: x rightarrow Ax from A to A is not onto. What does that tell you about the set of vectors b that can be produced by applying the transformation T to all vectors x in A? Is it possible for a linear transformation x rightarrow Ax from A to A to be one-to-one but not onto, or onto but not one-to-one? If so, please give examples of each case. If not, explain why not. Is it possible for an arbitrary linear transformation x rightarrow Ax from A to B to be one-to-one but not onto, or onto but not one-to-one? If so. please give examples of each case. If not, explain why not. For what values of {a. b. c, d. e.f. a. h. i.j } will the matrix A = invertible? what is the least amount of partitioning that needs to be applied to M; to make M1 and M2 conformable for block multiplication? What is the product M = M1, M2 that you obtain using block multiplication with these partitions? What is the product M = M1 M2. that you obtain by multiplying the two matrices without partitioning? For which three values of a is the matrix B = not invertible, and why If M1 and M2 arc partitioned matrices such that M1 For each matrix product shown below, draw in the partitions that would need to be added to make the multiplication possible: Describe in general how the sizes of each of the partitions(#rows, #columns) in a matrix product C = AB are defined by the sizes of the partitions in each of the matrices A and B when partitioned matrices are multiplied.

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