The linear equation relates the total charge C with the number of additional hours is:
C = $3.00 + $0.50*h
A general linear equation is:
y = a*x +b
Where a is the slope and b is the y-intercept or constant.
Here we know that there is a cost of $3.00 for the first hour or less, and then the cost increases by $0.50 for each additional hour.
Then if we want a function that relates the total charge C with the number of additional hours, we can write:
C = fixed cost + cost per additional hour*number of additional hours.
C = $3.00 + $0.50*h
That is the linear equation that we wanted.
If you want to learn more about linear equations:
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