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?

Answer: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.Step-by-step 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.