Answer:
a) 134 miles
Step-by-step explanation:
Lets write an equation representing the rental cost. We know that:
- Cost of daily rental rate = $12.50
- Cost of rent per mile = $0.25
The <u>total rent cost </u>will be the sum of the <em>daily rental rate </em>(fixed) plus the <em>cost corresponding to the drove miles </em>(cost per mile multiplied by the drove miles), so
Total rent cost = $12.50 + $0.25 × drove miles
We know that the <em>total cost of the rental</em> for Lori was <em>$46</em>, so if we call the miles she drove x, we have:
12.50 + 0.25 x = 46
So we need to <u>solve x</u> in this equation to calculate the miles she drove.
So first lets isolate the term with x:
12.50 + 0.25 x -12.50 = 46 -12.50
0.25x = 33.5
Now lets try to clear the x by dividing both sides by 0.25:
0.25x /0.25 = 33.5 /0.25
x = 134
Lori drove 134 miles