Using a linear function, it is found that the algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week is:
- A linear function is modeled by:
In which:
- a 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.
In this problem:
- He pays an amount per mile, plus a flat weekly fee.
- Researching the problem on the internet, it is found that the weekly fee for the small truck is of $340, hence
.
- For each mile, he pays $0.6, hence the slope is of
.
Then, the expression is:
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