Question
(worth 3 points) Mo’s dog walking service did not work out so they are driving Ubers now. They charge a flat fee of $3 plus $1.50 for each mile traveled. Define your variables and write an equation that models the cost to ride in Mo’s Uber as a function of miles driven. Then use the equation to calculate the total cost if the ride covers 12 miles. (Requires 3 steps; defined variables, equation with both variables, solution for cost of 12 mile ride) (3 points)
Answers
GPT-4o mini
### Step 1: Define Variables
Let:
- \( C \) = total cost of the ride in dollars
- \( m \) = number of miles driven
### Step 2: Write the Equation
The total cost \( C \) can be modeled with the following equation:
\[
C = 3 + 1.50m
\]
where \( 3 \) is the flat fee and \( 1.50m \) is the cost per mile.
### Step 3: Calculate the Total Cost for a 12 Mile Ride
To find the total cost for a ride covering 12 miles, substitute \( m = 12 \) into the equation:
\[
C = 3 + 1.50(12)
\]
Calculating the cost:
\[
C = 3 + 18 = 21
\]
Thus, the total cost of a 12-mile ride is **$21**.
Let:
- \( C \) = total cost of the ride in dollars
- \( m \) = number of miles driven
### Step 2: Write the Equation
The total cost \( C \) can be modeled with the following equation:
\[
C = 3 + 1.50m
\]
where \( 3 \) is the flat fee and \( 1.50m \) is the cost per mile.
### Step 3: Calculate the Total Cost for a 12 Mile Ride
To find the total cost for a ride covering 12 miles, substitute \( m = 12 \) into the equation:
\[
C = 3 + 1.50(12)
\]
Calculating the cost:
\[
C = 3 + 18 = 21
\]
Thus, the total cost of a 12-mile ride is **$21**.