Question

The cost to rent a truck is a $75 flat fee, plus $0.55 per mile driven. The table below shows the total cost of renting the truck for the first four miles. Miles Driven 4 Total Cost $75.55 $76.10 a) Write an equation to represent this Sequence. b) Find the total cost of renting and driving the truck 60 miles.

Answer 1

The answer in ur equation is 108

Answer 2

The variables given are the fixed cos (called the flat fee) which is a known variable, that is 75. You also have the variable cost which can change as the mileage increases and that is 0.55 per mile driven.

If the total cost at 1 mile is given as

75.55 = flat fee + fee per mile driven, then the equation would be as follows;

`C=y+\text{0}.55x`

Where C is the total cost, y is the flat fee (which does not change) and x is the number of miles driven. This can now be properly expressed as

`C=75+0.55x`

That is the answer to part (a)

(b) The total cost of renting and driving the truck for 60 miles can now be calculated as follows;

`\begin{gathered} C=75+0.55x \\ \text{Where x equals 60, the equation becomes} \\ C=75+0.55(60) \\ C=75+33 \\ C=108 \end{gathered}`

The cost therefore of renting and driving the truck for 60 miles is $108