Question

Colton is painting a set of figurines a solid color. It takes him 15 minutes and 5 milliliters of paint to finish a small figurine. It takes him 30 minutes and 8 milliliters of paint to complete a large figurine. Colton plans to paint for at least 360 minutes, and he can use a maximum of 100 milliliters of paint.

(20 points) This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.

15x + 30 ≥ 360
5x + 8y ≤ 100

Answer 1

A

Explanation:

The solution set is the purple region. The intersection lies at (4,10)

The region is towards left of x=4 so it can't be D

x and y have to be non-negatve integers. So it can't be B or C

Answer 2

4,10

Explanation:

We want where they both overlap

X must be greater than 0

We cannot have parts of figures so we must have whole numbers

(6,9) is too large