Beth earns $54 per day and $10 for each extra hour she works. ray earns $60 per day and $8 for each extra hour he puts in. they both work five days a week. the equations show their weekly earnings with respect to how many extra hours they work. beth: y = 270 + 10x ray: y = 300 + 8x the point of intersection of the two lines is . at this point, beth’s earnings will be ray’s earnings, and beth would have put in ray.

From the information, both work 5 days a week (54*5 = 270, 60*5 = 300), this is the amount they each earn before the extra hours are added. That aside, we want to know when the two equations are equal to each other. So, lets set the equations equal to each other. 270 + 10x = 300 + 8x After this, we simply solve for x.

270 + 10x = 300 + 8x
270 + 2x = 300
2x = 30
x = 15

If they both work 15 extra hours, they will have the same amount of money at the end of the week.

The answer is a hope i