The graph above displays the total cost $C$ , in dollars, of renting a boat for $h$ hours.
Which of the following represents the relationship between $h$ and $C$ ?

C = 5 h

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C = \frac{3}{4} h + 5

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C = 3 h + 5

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h = 3 C

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Solution

The correct option is B $C = 3 h + 5$
To write the equation of a straight line, we require its slope and coordinates of a point on it.
Here, point $(5, 0)$ lies on the line.
Also, the slope of the line can be found out using $\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{8 - 5}{1 - 0} = 3$ where $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ lie on the line.
Thus, the equation of the required line becomes $y = 5 x + s$
When substituted $(5, 0)$ we get $5 = s$
Thus, the equation of line is $C = 3 h + 5$

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