Q:

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.

Accepted Solution

A:

[tex]p(x) = 2x + 9[/tex]
substitute the given number of students in the meeting

[tex]p(x) = 2(9) + 9[/tex]
[tex]r(p(x))[/tex]
wherever there is an x in the equation of r(x) substitute the p(x) equation
[tex]r(x) = 4x - 3[/tex]

[tex]4(2(9) + 9) - 3[/tex]
[tex]4(18 + 9) - 3[/tex]
[tex]4(27) - 3[/tex]
[tex]108 - 3 = 105[/tex]