Question

Jen has driven 15 mi. on her way to the mall. This distance is 3/5 of the total distance. If d represents the total distance in miles, which equation can be used to find d?

1) d = 15 * (5/3)
2) d = 15 * (3/5)
3) d = 15 + (3/5)
4) = 15 - (3/5)

Answer 1

The correct equation to find the total distance is d = 15 * (5/3). The correct answer is 1.

Step-by-step explanation:

If Jen has driven 15 miles, which is 3/5 of the total distance, we can use the equation d = 15 * (5/3) to find the total distance, where d represents the total distance in miles.

Let's break down the given information and equation:

- Jen has driven 15 miles.

- This distance is 3/5 of the total distance.

To find the total distance, we multiply the distance driven (15 miles) by the reciprocal of the fraction representing the proportion of the total distance driven. In this case, the reciprocal of 3/5 is 5/3.

Therefore, the correct equation to find the total distance is:

d = 15 * (5/3)

This equation represents multiplying the distance Jen has driven (15 miles) by the reciprocal of the proportion of the total distance driven (5/3), resulting in the total distance, which is represented by d.

Therefore, the correct answer is:

1) d = 15 * (5/3)