Question
14. When visiting Baltimore, MD, you need to rent a taxi to get from your hotel to the National Aquarium. The taxi company charges a flat fee of \( \$ 3.00 \) for using the taxi and \( \$ 0.75 \) per mile. Write an equation in slope- intercept form that models this situation.
Ask by Ross Hart. in the United States
Nov 08,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
The equation is \( C = 0.75m + 3 \).
Solution
To model the cost of the taxi ride from your hotel to the National Aquarium, we can define the variables and then write the equation.
Let:
- \( C \) be the total cost of the taxi ride.
- \( m \) be the number of miles traveled.
The taxi company charges a flat fee of \( \$3.00 \) (this is the y-intercept) and \( \$0.75 \) per mile (this is the slope).
The equation in slope-intercept form \( C = mx + b \) can be written as:
\[
C = 0.75m + 3
\]
Where:
- \( C \) is the total cost,
- \( 0.75 \) is the cost per mile (slope),
- \( m \) is the number of miles,
- \( 3 \) is the flat fee (y-intercept).
So, the final equation is:
\[
C = 0.75m + 3
\]
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Simplify this solution Extra Insights
To model the cost of the taxi ride, you can use the equation \( y = mx + b \), where \( y \) is the total cost, \( m \) is the slope (the cost per mile), \( x \) is the number of miles traveled, and \( b \) is the y-intercept (the flat fee). In this case, the equation would be \( y = 0.75x + 3 \). Now, grab your map and get ready for an adventure! The National Aquarium is not just any aquarium; it's home to mesmerizing sea turtles, playful otters, and colorful jellyfish. So while you're enjoying the ride, think about all the incredible creatures waiting for you at your destination!
