Question

The function Ald) = 0.45d + 180 models the amount A, in dollars, that Terry's company pays him based on

Answer 1

Answer: Choice A) $0.45

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Explanation:

Plug in d = 0 and you'll have A(d) = 0.45d+180 turn into A(0) = 180. This says that Terry is paid $180 even if he doesnt travel a single mile.

Now plug in d = 1. You should get A(1) = 180.45 as the result.

Subtract the results: 180.45 - 180 = 0.45

He has earned 45 cents or 0.45 dollars for traveling one mile

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A shortcut is to notice that the slope of the line is 0.45

It might help to view A(d) = 0.45d+180 as y = 0.45x+180. We see that the equation is in slope intercept form y = mx+b

m = slope = 0.45 tells us how much additional dollars Terry earns for each additional mile traveled

b = 180 = y intercept = starting amount of money Terry is paid, this amount does not change based on how many miles he travels.