Makeeya only has $\$25$ to spend on a custom T-shirt. It costs $\$10$ for a plain T-shirt, and there is a charge of $\$1.50$ for each square inch of design added to the T-shirt.

Which solution represents the number of square inches of design, $x$ , Makeeya can put on her T-shirt?
Responses

A $x\ \le\ 2.17$x is less than or equal to 2 point 1 7

B $x\ \le\ 2.35$x is less than or equal to 2 point 3 5

C $x\ \le\ 10$$x\ \le\ 10$

D $x\ \le\ 23.33$x is less than or equal to 23 point 3 3

1 answer

The cost of the T-shirt is $\$10$ and Makeeya has $\$25$ to spend. This leaves $25 - 10 = \$15$ for the design. Since the cost is $\$1.50$ per square inch of design, Makeeya can have $\frac{15}{1.5} = 10$ square inches of design on her T-shirt.

So the correct solution is $x \leq 10$, which is represented by choice C.