SOLUTION: The cost varied linearly with the number of hours the staff worked. When the staff worked 200 hours the cost was $1725, and when the staff worked 100 hours the cost was $925. What

Question 1084608: The cost varied linearly with the number of hours the staff worked. When the staff worked 200 hours the cost was $1725, and when the staff worked 100 hours the cost was $925. What would it cost if the staff worked 150 hours?

Got stumped on this question, any help in solving it would be appreciated! Thanks.
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
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The cost varied linearly with the number of hours the staff worked.
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x, hours
y, cost

Two points from description as (x,y):
(200, 1725) and (100, 925).

-
--------------------------------------------------------------
What would it cost if the staff worked 150 hours?
-------------------------------------------------------------

You actually do not need the equation. Simple linear interpolation should be enough. 150 is exactly in the middle of 100 and 200 hours. Find therefore the exact middle of $1725 and $925:
-
$1325
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