Question

A cab company charges a flat rate of $2 plus an additional $0.50 for every mile traveled. Use this information for Items 12 and 13. 12. a. Write an expression that can be used to determine the total cab fare for a distance of m miles. b. When Sara arrived at your destination, her cab fare was $7.50. Write an equation to represent this situation. How many miles did Sara travel?

Answer 1

The cost for each travel on this cab company can be expressed as a sum of the fixed fee and the price per mile multiplied by the distance in miles of the travel. Therefore:

`c(m)=2+0.5\cdot m`

If Sarah paid $7.5 for her cab, then c(m)=7.5 and we can use this value on the expression above to solve for "m". We have:

`\begin{gathered} 7.5=2+0.5\cdot m \\ 0.5\cdot m=7.5-2 \\ 0.5\cdot m=5.5 \\ m=(5.5)/(0.5)=11 \end{gathered}`

She traveled 11 miles.