Respuesta :
Using a linear function, it is found that the maximum number of miles you can drive during a 1-day rental is of 790.
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 26.2.
- The slope is 0.22.
Hence the function for the cost of driving x miles is:
y = 26.2 + 0.22x.
He can spend at most 200, hence:
0.22x + 26.2 = 200
0.22x = (200 - 26.2)
x = (200 - 26.2)/0.22
x = 790.
The maximum number of miles you can drive during a 1-day rental is of 790.
More can be learned about linear functions at https://brainly.com/question/24808124
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