Some carpet cleaning costs are 1 room for $125, 2 rooms for $175, 3 rooms for $225. and 4 rooms for $275.00. Find and interpret the rate of change and the initial value for this situation.

Question

Kayleigh Lin

Mathematics

2 March, 23:52

Some carpet cleaning costs are 1 room for $125, 2 rooms for $175, 3 rooms for $225. and 4 rooms for $275.00. Find and interpret the rate of change and the initial value for this situation.

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Answers (1)

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Delilah Dickson · Answer 1

First calculate the hourly rate, which is the difference of cleaning 2 and 1 rooms:

175-125=50

then calculate the initial value by subtracting the hourly rate from the "1 room" cost:

125-50=75

The initial cost might be something like driving to the place (which is only necessary once), while the rate covers work time or cleaning utensils used.