Answer:
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.
Step-by-step 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)
