An ice cream shop uses the function f (p) = 2.50p-300 to calculate the amount of profit or loss, f (p), the store makes each day after selling p number of ice cream cones which domain is appropriate for the function and shows the ice cream shop making a profit?

A. all positive integers

b. all positive rational numbers

c. all integers greater than 120

d. all rational numbers greater than 120

Question

Mathematics

Kristian Hunter

30 November, 20:06

An ice cream shop uses the function f (p) = 2.50p-300 to calculate the amount of profit or loss, f (p), the store makes each day after selling p number of ice cream cones which domain is appropriate for the function and shows the ice cream shop making a profit?

A. all positive integers

b. all positive rational numbers

c. all integers greater than 120

d. all rational numbers greater than 120

+3

Answers (1)

Know the Answer?

Annabel Hansen · Answer 1

c. all integers greater than 120

Step-by-step explanation:

For making profit, f (p) must be positive. You want f (p) to be greater than zero.

2.50p - 300 > 0

2.50p > 300

p > 120

Since the number of cones sold is always a whole number, the domain must be all integers greater than 120.

Answer: c. all integers greater than 120