Question
The cost, y, to take a ride share x miles is represented by the function y=0.95x+2.49
. Maluma takes the ride share 15.8 miles and is charged $17.50.
What is the rate of change represented by this situation?
. Maluma takes the ride share 15.8 miles and is charged $17.50.
What is the rate of change represented by this situation?
Answers
GPT-4o mini
The function \( y = 0.95x + 2.49 \) represents the cost \( y \) of taking a ride share for \( x \) miles. In this function:
- \( 0.95 \) is the variable rate (the cost per mile).
- \( 2.49 \) is the base fare (the initial charge before any distance is traveled).
The rate of change in this context is the coefficient of \( x \), which is \( 0.95 \). This means that for every additional mile travelled, the cost increases by $0.95.
So, the rate of change represented by this situation is **$0.95 per mile**.
- \( 0.95 \) is the variable rate (the cost per mile).
- \( 2.49 \) is the base fare (the initial charge before any distance is traveled).
The rate of change in this context is the coefficient of \( x \), which is \( 0.95 \). This means that for every additional mile travelled, the cost increases by $0.95.
So, the rate of change represented by this situation is **$0.95 per mile**.