Question

question 2 pts
an airport shuttle charges a $5 flat
rate plus $1.50 per mile driven. alex’s
last trip to the airport cost $41. write
and solve an equation to find the
number of miles of alex’s trip.
\boxed{}x + \boxed{} = \boxed{}
the trip was \boxed{} miles.
question 2 pts
tonya’s dog - walking service charges a flat rate of $20 per month, plus $3 per
mile that each dog is walked. beth does not charge a monthly fee for her
dog - walking service, but she charges $5 per mile that each dog is walked.
choose the equation that can be used to find the number of miles for which
tonya and beth would charge the same amount to walk one dog.
\text{a } 20 + 3m = 5m \quad \text{c } 20 + 5m = 3m
\text{b } 20 = 3m + 5m \quad \text{d } 20 + m = 8m
https://browardschools.instructure.com/courses/1875078/quizzes/11657601/read_only

Explanation:

First Problem Step1: Define equation

Let \(x\) = miles. Cost: \(1.50x + 5 = 41\)

First Problem Step2: Solve for x

Subtract 5: \(1.50x = 36\); Divide: \(x = \frac{36}{1.50} = 24\)

Second Problem Step1: Match costs

Tonya: \(20 + 3m\); Beth: \(5m\); Set equal: \(20 + 3m = 5m\)

Answer:

1.50x + 5 = 41; The trip was 24 miles.
A. 20 + 3m = 5m