Question

Suppose a family starts out 50 miles from home at time t = 0. They travel away from home at a constant speed of 45 miles an hour. What is the equation that tells you how far they'll be from home t hours later?

Answer 1

distance=speed times time
time=t
speed=45mph

they start at 50 miles away
d+50=ttotal distance
45t+50=total distance at t time

Answer 2

The required equation tells how far they'll be from home t hours later is
`d=50+45t`

Explanation:

Given : Suppose a family starts out 50 miles from home at time t = 0. They travel away from home at a constant speed of 45 miles an hour.

To find : What is the equation that tells you how far they'll be from home t hours later?

Solution :

Let d is the distance covered in time t at a speed s

The relation between them is

`\text{Distance}=\text{Speed}* \text{Time}`

They travel away from home at a constant speed of 45 miles an hour.

The distance covered is
`d=45* t=45t`

The family starts out 50 miles from home at time t = 0.

So, The total distance they covered is

`d=50+45t`

Therefore, The required equation tells how far they'll be from home t hours later is
`d=50+45t`