Manuel builds and sells wooden crates. he made this table to show how much his crates cost in dollars. number of crates 2 4 6 8 cost ($) $25 $45 $65 $85 which equation represents this situation, where x is the number of crates and y is the cost? a)y−2=−10(x−25) b) y−85=10(x−8) c)y−65=−10(x−6) d)y−4=10(x−45)

The difference between the costs is $20 and the difference in the crates is 2 so the slope is 20/2=10, the coefficient for x.
The equation then is y-k=10(x-h) where (x,y) is a pair of values from the table: (2,25), (4,45), (6,65), (8,85). Eliminate answers A and C because the coefficient is -10. Answer D has the (h,k) values the wrong way round, but B is correct in all respects so B is the answer.

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