Question

The formula d = 26t + 32.5 can be used to find the distance (d) between two cars after traveling (t) hours in opposite directions. How many hours will it take for the cars to be 117 miles apart?​

A: 0.5
B: 2.05
C: 3.25
D: 4.5

Answer 1

C

Explanation:

The formula given is:

`d=26t+32.5`

Where

d is the distance between two cars

and

t is the time it takes

We want the time it takes (so we need t) for the cars to be 117 miles apart (this is the distance). Thus, it means:

d = 117

t = ???

We plug in 117 into d and solve the equation for t. Shown below:

`d=26t+32.5\\117=26t+32.5\\117-32.5=26t\\84.5=26t\\t=(84.5)/(26)\\t=3.25`

So, it takes 3.25 hours

Correct answer is C