SOLUTION: You earn $20 an hour mowing lawns and $10 an hour washing windows. You want to make $500 in one week. If x is the number of hours you mow lawns and y is the number of hours you was
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Question 678325: You earn $20 an hour mowing lawns and $10 an hour washing windows. You want to make $500 in one week. If x is the number of hours you mow lawns and y is the number of hours you wash windows, answer the following questions:
A. What is the equation that represents this situation?
B. What are the intercepts?
C. What do the intercepts mean in this situation?
D. Graph the situation. Label the axes.
E. If you work 30 hours washing windows, how many hours do you have to mow lawns
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
A. 20x + 10y = 500
...
B. 10y = -20x + 500
y =
y = -2x + 50
y intercept is 50
x intercept is where y = 0
0 =-2x+50
-50=-2x
x = 25
x intercept is 25
...
C. The intercepts indicate how many hours must be worked on one job without working any hours on the other job.
y intercept of 50 means, 50 hours of y, washing windows, with 0 hours of mowing.
x intercept of 25 means, 25 hours of x, mowing, with 0 hours of washing windows
...
D.
...
E. If y = 30, then x = ?
30 = -2x+50
2x = 50-30
2x = 20
x = 10 hours mowing
.....................
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