Question

The function p(x) = 2x +1 determines how many pizzas need to be purchased for an after school meeting, where x is the number of students at the meeting. The club leader uses r(p(x)) to find the amount of money to bring for the pizza purchase. The function r(x) = 4x − 3. Solve for how much money to bring when there are 9 students in the meeting. (6 points)

Answer 1

The club leader needs $73 for pizzas for 9 students.

Explanation:

p(x) = 2x +1

r(x) = 4x − 3

r(p(x)) = 4(2x +1) − 3

r(p(x)) = 8x +4 − 3

r(p(x)) = 8x +1

r(p(9)) = 8(9) +4 − 3

r(p(9)) = 72 +1

r(p(9)) = $73