Answer:
11 [tex]\frac{3}{8}[/tex] miles.
Step-by-step explanation:
To find how many miles Brandon rode, we can create an equation in slope-intercept form: y = mx + b
$2.25 is the flat fee, or the unchanging variable. This is our y-intercept, or b.
$0.40 is the changing variable, as it changes value depending on the amount of miles ridden. This is our slope, or m.
We know Brandon spent $6.80 on the cab ride. So, this is our y.
We get the equation: 6.80 = 0.40x + 2.25.
To solve, first subtract 2.25 from both sides of the equation:
6.80 - 2.25 = 0.40x + 2.25 - 2.25
We get: 4.55 = 0.40x
Now, just divide by 0.40 on both sides:
4.55 ÷ 0.40 = 0.40x ÷ 0.40
We get: 11.375 = x
So, Brandon rode for 11.375 miles. When converted to a mixed number, we get 11 [tex]\frac{3}{8}[/tex] .
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