Darian wants to build a regulation size pool table that is 9 feet in length. the plans he ordered are 18 by 36 inches. what is the scale factor of the dilation he must use to build the regulation pool table?

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Step-by-step explanation:

Darian's plans are 3 feet long, and they're for a table 9 feet long. The scale factor is 9/3 = 3. That is, he must multiply the plan size by 3 to get the actual size.

A scale factor is usually expressed as a fraction: (model size)/(real size). Here, it looks like you want a dilation factor that is (real size)/(model size).

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!