Question

A taxi cab charges a flat fee of $5 per ride plus $0.4 per mile. (a) determine the cost function C, of riding in the cab for m miles. (b) what is the cost of a 21- miles taxi cab ride? (c) How far can you ride if only you have $19

Answer 1

Step 1

Get the equation for the cost/charge of the cab for a given number of miles

`\begin{gathered} C=0.4x+5 \\ \text{Where C = cost} \\ x\text{ = number of miles} \end{gathered}`

Step 2

A) Determine the cost function C, of riding the cab for m miles.

`\begin{gathered} \text{The equation is} \\ C=0.4x+5 \\ \text{but x = m miles} \\ \text{Hence,} \\ C=0.4m\text{ + 5} \end{gathered}`

Step 3

B) What is the cost of a 21-miles taxi cab ride

`\begin{gathered} C=0.4(21)+5 \\ C=8.4+5=\text{\$}13.4 \\ \end{gathered}`

Step 4

C) How far can you ride if only you have $19

`\begin{gathered} C=0.4x+5 \\ \text{\$19}=0.4x+5 \\ 0.4x=19-5 \\ 0.4x=14 \\ (0.4x)/(0.4)=(14)/(0.4) \\ x=\text{ 35 miles} \end{gathered}`

Hence, you can ride 35 miles if you only have $19