Using a linear function, it is found that he spent $29.865 for the 4.5 hours he was on the river.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, we have that:
- The intercept is the flat rate of $12.99.
- The slope is the cost per hour of $3.75.
Hence the cost of x hours is given by:
C(x) = 12.99 + 3.75x.
For 4.5 hours, the cost is given as follows:
C(4.5) = 12.99 + 3.75(4.5) = $29.865.
More can be learned about linear functions at https://brainly.com/question/24808124
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