Math Problem Statement
The linear model c = 2.20 + 2m describes the cost of a cab ride, c, as a function of the number of miles traveled, m. How much will it cost to travel 16 miles in a cab?
Solution
The given linear model is:
where:
- is the cost of the cab ride.
- is the number of miles traveled.
- The base fare is .
- The cost per mile is .
To find the cost for miles:
Thus, the correct answer is $34.20$. ✅
Would you like more details or another explanation?
Here are five related questions for further practice:
- What is the cost of a cab ride for 10 miles using the same model?
- How would the cost change if the price per mile increased to $2.50?
- If a ride costs $50.20, how many miles were traveled?
- What is the slope of the given linear function, and what does it represent?
- How would you represent this function graphically?
Tip: In linear equations, the slope represents the rate of change, while the y-intercept represents the starting value. 🚖
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Cost Functions
Algebra
Formulas
c = 2.20 + 2m
Theorems
Linear Functions
Slope-Intercept Form
Suitable Grade Level
Grades 7-9