Question

Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (xx) and the number of lawns he mows (yy) to determine how to earn at least $300. Which type of boundary line should he use in his graph? A dotted boundary line, because the values on the line should not be included in the solution set. A dotted boundary line, because the values on the line should not be included in the solution set.BA solid boundary line, because the values on the line should not be included in the solution set .A solid boundary line, because the values on the line should not be included in the solution set.CA dotted boundary line, because the values on the line should be included in the solution set .A dotted boundary line, because the values on the line should be included in the solution set. A solid boundary line, because the values on the line should be included in the solution set.

Answer 1

D. A solid boundary line, because the values on the line should be included in the solution set.

Explanation:

Given.

Part time = 7.25 per hour.

Mowing of Lawn = 9 each time

Required

Determine the type of boundary

From the question, we understand that x represents the number of hours he worked (part time) and y represent number of lawn he mows.

So, his earnings can be expressed as:

7.25x + 9y

The question also says that he needs to earn atleast 300

Atleast 300 means ≤ 300

So, his earnings can be fully represented as:

7.25x + 9y ≤ 300

When plotting an inequality graph that involves ≤, we make use of a solid line.

This is so, because the values on the solid line are also a part of the line equation.

From the list of given options, option D answers the question.