Question

Question Details A car is traveling down a highway at a constant speed, described by the equation d = 65t, where d represents the distance, in miles, that the car travels at this speed in thours. time(t) distance (d) Answer these two questions by FILLING OUT the table provided. 1. How many miles does the car travel in 1.5 hours? 2. How long does it take the car to travel 26 miles at this speed?

Answer 1

(1). 97.5 miles

(2). 0.4 hours

Explanation:

(1).

We are asked what is the value of d when we put in t = 1.5 in the formula.

Putting in t = 1.5 in d = 65t gives

`d=65(1.5)`
`d=97.5\text{miles.}`

Hence, the car travels 97.5 miles in 1.5 hours.

(2).

In this case, we are told that d = 26 miles and we are asked to find t.

Putting in d = 26 into the formula gives

`26=65t`

we solve for t by dividing both sides by 65 to get

`t=0.4\text{hours}`

Hence, it takes the car 0.4 hours to travel 26 miles.