Final answer:
To find the total distance Jen needs to drive to the mall, the equation d = 15 mi × (5/3) is used, which yields a result of 25 miles as the total distance.
Step-by-step explanation:
The student is asking how to find the total distance Jen must drive to get to the mall if 15 miles is 3/5 of this total distance. To solve for the total distance, represented by d, we set up the equation with the known values:
15 mi = (3/5)d
To find d, the total distance, we need to divide both sides of the equation by 3/5, which is equivalent to multiplying by the reciprocal (5/3). So, the equation to find d is:
d = 15 mi × (5/3)
By performing the multiplication, we find:
d = 25 mi
Therefore, the total distance Jen needs to drive to get to the mall is 25 miles.