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

Respuesta :

Its x ≥ $12  since just 12*15 is 180

Riia

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

[tex] Selling \ price - cost \ price = profit [/tex]

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

[tex] Profit \geq 150
\\
Selling \ price - cost \ price \geq 150 [/tex]

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

And she epent 30 dollars for 15 cakes.

So we will get

[tex] 15x-30 \geq 150 [/tex]

Adding 30 to both sides

[tex] 15x \geq 180
\\
x \geq 12 [/tex]

Correct option is the second option .