Question

Apolline is mowing lawns for a summer job.For every mowing job,she charges an initial fee plus constant fee for each hour of work.Her fee for a 5-hour job, for instance,is $42.Her fee for a 3-hour job is $28

Answer 1

in short response the answer is F

Explanation:

the two points dont intercept

Answer 2

A. Therefore, the slope of the above equation is 7 and x-intercept is (-1,0)

B. The slope 7 and y-intercept (0,7)

C. The slope is 7 and (1,14) is the point.

D. Y-intercept = (0,7) and X-intercept = (-1,0).

E. (1,14) is the point and the y-intercept is (0,7).

F. Points (1,14) and (2,21) are the two points.

Explanation:

Apolline charges a fixed initial fee and a constant fee for each hour for mowing work.

If we try to model the above conditions with a total cost for mowing as C for working for h hours then we will get

C = a + bh ....... (1)

Where a is the initial fee and b is the rate of charge per hour of work.

Now, her fee for a 5-hour job is $42 and her fee for a 3-hour job is $28.

Hence, from equation (1),

42 = a + 5b ........ (2) and

28 = a + 3b ......... (3)

Now, solving equations (2) and (3) we get 2b = 42 - 28 = 14

⇒ b = 7 dollars per hour of work.

And from equation (3) we get, a = 28 - 3b = 7 dollars.

So, the equation (1) becomes C = 7 + 7h ....... (4)

A. Therefore, the slope of the above equation is 7 and x-intercept is (-1,0)

B. The slope 7 and y-intercept (0,7)

C. The slope is 7 and (1,14) is the point.

D. Y-intercept = (0,7) and X-intercept = (-1,0).

E. (1,14) is the point and the y-intercept is (0,7).

F. Points (1,14) and (2,21) are the two points. (Answer)