Question

Brandon rode in a taxi that charges a flat fee of $2.25 and an additional $0.40 per mile of his trip. If he paid $6.80 for the cab ride, how many miles did he travel? (HOW DID YOU GET YOUR ANSWER SHOW YOUR WORK!!)
A. 11 3/8
B. False
C. 1/5
D. 61.5
E. True
F. 3/25
G. 62.4

Answer 1

Answer:

11 $\frac{3}{8}$ 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 $\frac{3}{8}$ .

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