Ethan87
Answered

The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:

Car A:
y = 52x + 15

Car B:
y = 46x + 63

After how many hours will the two cars be at the same distance from their starting point and what will that distance be?

8 hours, 510 miles
8 hours, 431 miles
7 hours, 510 miles
7 hours, 431 miles

Answer :

mnchapman48
You would use substitution to set the equations equal and then manipulate the equation to get x alone
52x+15=46x+63
52x=46x+48
6x=48
X=8 hours
Then plug your x into one of your original formula's
Y=46x+63
Y=46(8)+63
Y=368+63
Y=431 miles

Answer:

B- 8hours, 431 miles

Step-by-step explanation:

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