The equation given is - 60x + 375 = y. This equation represents Lucy's distance from Dallas (y) in miles at any given time (x) in hours.
When Lucy began her drive, her time x would be 0. So, to find out her distance from Dallas at the beginning, we plug in x = 0 into the equation:
-60(0) + 375 = y
0 + 375 = y
y = 375
Therefore, Lucy's distance from Dallas when she began her drive was 375 miles.
To find the change in Lucy's distance from Dallas for each hour she drives, we look at the coefficient of x in the equation, which is -60. This tells us that for each hour she drives, her distance from Dallas will decrease by 60 miles.
So, the change in Lucy's distance from Dallas for each hour she drives is -60 miles.
Lucy is driving to Dallas. Let y represent her distance from Dallas (in miles). Let x represent the time she has been driving (in hours). Suppose that x and y are
related by the equation - 60x + 375 = y.
Answer the questions below
What was Lucy's distance from Dallas when she began her drive?
miles
What is the change in Lucy's distance from Dallas for each hour she drives?
1 answer