Select the correct answer.

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.

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

A line intercepts the x and y-axis at 20 and minus 11.25 units. Another line intercepts the y-axis at 11 units. Both intersect at (4, 10) with an orange region on the right side, pink on the upper and white on the lower, and blue on the left.

Which solution is valid within the context of the situation?

A.
(4,10)
B.
(-2,13)
C.
(1,11.75)
D.
(6,9)

The intersection of a line and a line can be the empty set, a point, or another line. Distinguishing these cases and finding the intersection have been used, for example, in computer graphics, motion planning, and collision detection.

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.

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

The region is towards the 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.

To learn more about the intersection visit:

https://brainly.com/question/1214333

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