Question

A historic museum charges a rental fee plus $2 per hour for an audio tour guide. The total cost for 4 hours is $12. Find and interpret the rate of change and initial value.

Answer 1

We can represent this problem with the following linear equation
y = 2x + 4
where
y: total cost
x: number of hours
the slope of the line is
m = 2
Which means that for every hour of audio tour guide they charge $ 2.
For "zero" hours (x = 0) a rental fee of $ 4 must be paid.