lori rented a car for one day. the daily rental rate was $12.50 plus 25 cents per mile. the total cost of her rental was $46. how many miles did she drive that day? a. 134 b. 50 c. 96 d. 46

Respuesta :

atk13
y=.25x+12.50
46=.25x+12.50
-12.50   -12.50
--------
33.50=.25x
\.25     \.25
------
134

your answer is A.) 134 miles

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 total rent cost will be the sum of the daily rental rate (fixed) plus the cost corresponding to the drove miles (cost per mile multiplied by the drove miles), so

Total rent cost = $12.50 + $0.25 × drove miles

We know that the total cost of the rental for Lori was $46, so if we call the miles she drove x, we have:

12.50 + 0.25 x = 46

So we need to solve x 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

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