Answer:
6 miles.
Step-by-step explanation:
To solve this problem, lets make an equation in slope-intercept form (y = mx + b)
The initial fee is $6. This is our y-intercept (b) as it is unchanging.
Our slope (m) would be $3, as it changes value per mile, which will be represented by x.
$24 was the total fare, so this is our y.
We have:
24 = 3x + 6
Subtract 6 from both sides.
24 - 6 = 3x + 6 - 6
We get:
18 = 3x
Divide by 3 on both sides.
18/3 = 3x/3
We get:
6 = x
So, Mike traveled 6 miles.
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