Question

Erica is selling hot dog plates at school to raise money for her field trip. Her cost in dollars for supplies for x hot dog plates is represented by the function s(x) = 1.75x + 20. She sells the plates for $7.50 each. Which function P(x) represents her profit if she makes and sells x hot dog plates?

a. P(x) = 5.75x + 20
b. P(x) = 7.50x - 1.75x
c. P(x) = 7.50x + 20
d. P(x) = 1.75x - 7.50x

Answer 1

The function P(x) represents Erica's profit if she makes and sells x hot dog plates is P(x) = 7.50x - (1.75x + 20). Her cost for supplies is given by the function s(x) = 1.75x + 20, and her revenue from selling the plates is $7.50 per plate. Therefore, her profit is obtained by subtracting her cost from her revenue.

Step-by-step explanation:

The function P(x) represents Erica's profit if she makes and sells x hot dog plates is P(x) = 7.50x - (1.75x + 20).

Her cost for supplies is given by the function s(x) = 1.75x + 20, which represents the amount of money she spends to make x hot dog plates.

Her revenue from selling the plates is $7.50 per plate, so the total revenue is 7.50x.

Her profit is calculated by subtracting her cost from her revenue, which gives us P(x) = 7.50x - (1.75x + 20).