Question

Rita bakes cakes to earn money. She spent $30 for supplies to make 15 cakes. Which inequality shows how much Rita has to charge per cake to earn a profit of at least $150?
Question 5 options:

x ≥ $8


x ≥ $12


x ≤ $12


x ≤ $8

Answer 1

Its x ≥ $12  since just 12*15 is 180

Answer 2

First we have to see the formula of profit, which is

$Selling \ price - cost \ price = profit$

And it is given that profit should be atleast $150, that is

$Profit \geq 150 \\ Selling \ price - cost \ price \geq 150$

Let Ritax dollars per cake, so for 15 cakes, she charge 15x .

And she epent 30 dollars for 15 cakes.

So we will get

$15x-30 \geq 150$

Adding 30 to both sides

$15x \geq 180 \\ x \geq 12$

Correct option is the second option .