Assume that the growth of the membership of a country club was linear from 1996 to 2000 with a membership of 199 in 1996 and a rate of growth of 708 per year.

a. write an equation for the membership P of this country club as a function of the number of years x after 1996.

b. Use the function to estimate the membership in 2004.

 

a. Find the modeling equation for the membership of this country club as a function of the number of years x after 1996.

P=

(Type an expression using x as the variable. )

b. Use the function to approximate the membership in 2004.

 members =

Calculate Continuous Growth and Decay Question In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, what will the membership be in 2020? Round the answer to the nearest whole number, and do not include the units in your answer. Sorry, that's incorrect. Try again?

Write a system of two equations using x and y in each for the following. The sum of two numbers is 170 and their difference is 26. Choose one answer. x + y = 170 and x-y = 26 x-y = 170 and x + y = 26 2x + 170-26 = 2y x + y = 170 and 2x = 26 The sum of two numbers is 170 and their difference is 26. Find the two numbers. Choose one answer. 72 and 98 72 and 89 27 and 98 97 and 28 Write the solution as an ordered pair, (x, y) Choose one answer. Not possible (72,89) (27,89) (72,98) To skate at Roller Heaven, each person must pay a membership fee (m) and a fee for each session (f). Art attended five sessions and paid $25 in all. Later, when he had attended 10 sessions, he paid $40 in all. How much is the membership fee and how much are the sessions. Write a system of two equations with the variables m and f in each to represent this problem. Choose one answer. m + f = 25 and m + f = 40 m + 5f = 25 and m + 10f = 40 5m + f = 25 and m + 10f = 40 m +5 f = 25 and 10m + f = 40 To skate at Roller Heaven, each person must pay a membership fee (m) and a fee for each session (f). Art attended 5 sessions and paid $25 in all. Later, when he had attended 10 sessions, he paid $40 in all. How much is the membership fee and how much are the sessions. Choose one answer. m = 3 and f = 10 m = 10 and f = 3 m = 10 and f = 10 m = 3 and f = 3 To celebrate a win for the academic team, the coach treated them to a late lunch. If five students have burgers and three have sub sandwiches, the bill will be $35. If three students have burgers and five have sub sandwiches, the bill will be $37. What is the cost of each type of student? Choose one answer. burger = $5 and sub sandwich = $4 burger = $4 and sub sandwich = $4 burger = $5 and sub sandwich = $5 burger = $4 and sub sandwich = $5 The sides of a triangle have measures of x, x, and y, and the perimeter of the triangle is 46 centimeters. The measure y is 4 centimeters longer than the measure x. Write two equations which represent the two sentences. 2x + x = 46 and y + x = 4 x +2 y = 46 and y + x = 4 2x + y = 46 and y = x + 4 2x + y = 46 and y = 2x + 4 The sides of a triangle have measures of x, x, and y, and the perimeter of the triangle is 46. The measure y is 4 centimeters longer than the measure x. Write two equations which represent the two sentences. x = 18 and y = 14 x = 18 and y = 18 x = 14 and y = 14 x = 14 and y = 18 The sides of a triangle have measures of x, x, and y, and the perimeter of the triangle is 46. The measure y is 4 centimeters longer than the measure x. Write the solution for this as an ordered pair. Choose one answer. (18.14) (14,18) (14,14) (18,18) Write a system of two equations using x and y to represent the following problem. A chemist is mixing two solutions together. The chemist wants 100 gallons when complete. He is mixing a 24% solution with a 50% solution to get a 36% solution. How many gallons of each will he use? x + y = 100 and x + y = .36 x + y = 100 and .24x + .50y = 100 x + y = 100 and .24x + .50y = .36(100) x + y = 100 and .24 + .50 = .36