Expression miles driven in range with cost

Hi,
I have a Math problem below really stretches beyond my linear math algebraic equation (y=mx +c) understanding of 2 sets of specific number data. The problem, given a range of data verses another set of specific number. Please help if you have the solution. Many thanks and appreciate.


Cassidy rented a truck to move 120 miles from Ithaca to Attica. The table shows the cost for renting the truck based on the number of miles driven.
Miles driven Cost ($)
0-9 25
10-19 31
20-29 37
30-39 43
40-49 49
Write an expression to determine the cost of renting the truck for m miles.

Quote:

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Originally Posted by @chung

Hi,
I have a Math problem below really stretches beyond my linear math algebraic equation (y=mx +c) understanding of 2 sets of specific number data. The problem, given a range of data verses another set of specific number. Please help if you have the solution. Many thanks and appreciate.


Cassidy rented a truck to move 120 miles from Ithaca to Attica. The table shows the cost for renting the truck based on the number of miles driven.
Miles driven Cost ($)
0-9 25
10-19 31
20-29 37
30-39 43
40-49 49
Write an expression to determine the cost of renting the truck for m miles.

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When you graph this I would consider the center of each mileage interval. So we have the set of points
(5 miles, $25)
(15 miles, $31)
etc.

Notice that the price goes up $6 for every additional 10 miles.

-Dan