Q:

The function Ald) = 0.45d + 180 models the amount A, in dollars, that Terry's company pays him based onthe round-trip distance d, in miles, that Terry travels to a job site. How much does Terry's pay increase forevery mile of travel? a. $0.45b. $180.00c. $180.45$180.90

Accepted Solution

A:
Answer: Choice A) $0.45================================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 = 0.45He has earned 45 cents or 0.45 dollars for traveling one mile----------A shortcut is to notice that the slope of the line is 0.45It 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+bm = slope = 0.45 tells us how much additional dollars Terry earns for each additional mile traveledb = 180 = y intercept = starting amount of money Terry is paid, this amount does not change based on how many miles he travels.