Question

Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost $48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?

A graph titled Emma apostrophe s Work shows Mowed lawns on the x-axis, from 0 to 10, and Hours of babysitting on the y-axis, from 0 to 50. A solid line has a negative slope and goes through (0, 48) and (8, 0). Everything to the right of the line is shaded.

A graph titled Emma apostrophe s Work shows Mowed lawns on the x-axis, from 0 to 10, and Hours of babysitting on the y-axis, from 0 to 50. A solid line has a negative slope and goes through (0, 48) and (8, 0). Everything to the left of the line is shaded.

A graph titled Emma apostrophe s Work shows Mowed lawns on the x-axis, from 0 to 10, and Hours of babysitting on the y-axis, from 0 to 10. A solid line has a negative slope and goes through (0, 6) and (8, 0). Everything to the right of the line is shaded.

A graph titled Emma apostrophe s Work shows Mowed lawns on the x-axis, from 0 to 10, and Hours of babysitting on the y-axis, from 0 to 10. A solid line has a negative slope and goes through (0, 6) and (8, 0). Everything to the left of the line is shaded.

Answer 1

To graph this we find the x- and y-intercepts. The x-intercept would be at 8 and the y-intercept would be at 6.

Explanation:

The equation is 6x+8y=48. An x-intercept is the point where the data crosses the x-axis. All points on this line will have a y-coordinate of 0, so we replace y with 0 and solve:

6x+8(0)=48

6x=48.

Divide both sides by 6:

6x/6=48/6

x=8.

We go to 8 on the x-axis and plot the point.

A y-intercept is the point where the data crosses the y-axis. All points on this line will have an x-coordinate of 9, so we replace x with 0 and solve: 6(0)+8y=48

0+8y=48

8y=48.

Divide both sides by 8:

8y/8 = 48/8

y=6.

We go up to 6 on the y-axis and plot the point. We then draw a line through these two points.

Answer 2

3rd graph

Explanation: