A kayak rental company charges a flat fee for the rental plus a fee per hour. The graph shows the cost of renting a kayak for x hours. About how much does it cost only for the hours of the rental if the total cost was $45.00?

Question

A graph is shown in the xy-plane. The values on the x-axis ranges from 0 to 7 in increments of 1 and the values on the y-axis ranges from 0 to 80 in increments of 10. A line starts from a point 25 on the y-axis, goes up and passes through the points (1, 35), (2, 45), and so on.

A.
$10.00

B.
$20.00

C.
$25.00

D.
$45.00

Answer 1

y = m x + 25
what slope m goes through (1, 35), (2, 45) ?
(45 - 35) / (2-1) = 10 = m dollars/hour
y = 10 x + 25
45 = 10 x + 25 but 25 was fixed fee
so
45 - 25 = $20 is for time (which was 2 hours)

Answer 2

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