Question

A State Park charges $5 per car plus $1 per person as an admission fee. The total charged for a car with x people is f(x) = x + 5. How will the graph of this function change if the per car charge is changed to $8 per car?

Answer 1

The line will shift vertically up by $3.

Answer 2

Given f(x) = x + 5
If this function changes to $8 per car then
The function becomes f(x) = x + 8
using the concept of equation of straight line:
y=mx+b
where b represents the y-intercept
Hence,
In the above equation,the y-intercept changed from 5 to 8.
Therefore,
the graph has translated 3 units up
hope it helps