Answer:
The required equation tells how far they'll be from home t hours later is \(d=50+45t\)
Step-by-step 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
\(\text{Distance}=\text{Speed}\times \text{Time}\)
They travel away from home at a constant speed of 45 miles an hour.
The distance covered is \(d=45\times t=45t\)
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 \(d=50+45t\)
