MATH 104 Quiz: MATH 104 Quiz 1 2017 Fall

The slope m and the y-intercept of the line 10x + 2y = 17 are A company's revenue and predict functions for q items are R(q) = 253q and pi (0) = 1.03q = 1250, The Variable count for each item is A. $1250 B. $1.03 C. $2.53 D. $1.50 E. None of these The profit for selling each item is A. $1.03 B. $2.53 C. $150 D. $1250 E. None of these The expression 9 = e3x is equivalent to A. log0 3x = e B. ln 3x = 9 C. ln 9 = 2x D. ln 9 = 3x E. None of these Solve the equation 9 = 2 3x. The population of an area can be approximated by P = 9.2(0.9321)l, where P is in millions of people and t is in your since 2005. The yearly percent decay rate of the population is Using the given table. f(g(3)) = By using the above table, find the average rate of change in f(x) and g(x) between 1 and 4 respectively A line that connects any two points on a curve is called a secant line. The curve is f(x) = x2 + 8x. Find the equation of the secant line passing through two points whose x coordinates are x1 = -6 and x2 = -1. If you need $20,000 in your bank account in 6 years, how much must be deposited now? The interest rate is 10 % and it is compounded continuously. A movie theater has to pay rent $100 per day A catering service will charge $2 per customer for the snack. The theater charges $15 per ticket. How many customers per day does the theater need in order to break even on the payment? A house purchased for $36,0000 new, increases in value at the rate of 3% each you. The average rate of change in the value of the house from year 2 to year 5 is _________. If a bank pays 6% per year interest compounded annually. how long does it take for the balance in an account to double? The supply and demand functions for a product are q = S(p) = 20p - 400 and q = D(p) = 800 - 40p where q b the quantity and p is the price in dollars. Find the quantity at the equilibrium point.

submission for each question part is used for your score. -/10 points LCalcCon5 1.4.005 or the linear model, do the following. The production of a coated wire is Ax) = 160x feet, where x dollars is the amount spent on raw (a) Give the slope of the line defined by the equation. materials. (b) Write the rate of change of the function in a sentence of interpretation. The production of wire is IncreasingYby feet per dollar spent for raw materials (c) Evaluate f(0). Give a sentence of interpretation for f(O) When dollars are spent, the amount of coated wire produced is Need Help? ReadIt Talk to a Tuter ubmit AnswerSave Progress 10 points LCalcCon5 1.4.007 rite the function of the linear model for the cost in dollars to produce x toys given the rate of change and initial output

Notes Ask Your on D.C. when the ticket price is p dollars. Interpret the The following. (a) R75) 20 When the ticket price is sthe weekly profit to the airfline on flights from Boston to Washington is s (b) 5)-2.5 When the ticket price is $ (of ticket price). the weekly profit to the airline on flights from Boston to Washington is by $ (c) f(105)- When the ticket price is (of ticket price). the weekly proft to the airline on flights from Boston to Washington is by $ per dollar 2 5 008 s(t)--26r', sて1.6) SAMSUNG

0 10 points L 2.5.008. s(e)2.6; s(1.6) (a) Use the limit definition of the derivative (algebraic method) to write an expression for the rate-of-change function of the given function. s(t) ato- (b) Evaluate the rate of change as indicated. /10 points LCalcCon5 3.1.018