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A parking garage charges $5.50 to park for 4 hours and $7.75 to park for 7 hours. If the cost is a linear function of a number of hours parked, what is the cost to park for 3 hours?

Verified Answer :

I think it would be $3.50.

If the charge is a linear function, we need to find the slope
of the line. In this problem, money charged is a function
of hours parked... f(h) = $

Your points then are (hours, dollars)
We have two points... (4, 5.5), (7, 7.75)

The slope is the rise over the run...
m = (7.75 - 5.5)/(7-4) = 2.25/3 = .75

If the hours decrease by 1, the charge will decrease by $.75.
At 4 hours we charge, $5.50
For 3 hours we charge $5.50 - $.75 = $4.75