Answer:
The equation used for find cost c for m distance travelled is [tex](c-12)=\frac{1}{2} (m-5)[/tex] .
Option (a) is correct .
Step-by-step explanation:
As given
The cost of a taxi ride is a linear function of the distance traveled.
As m represented the distance travelled and c represented the cost .
Thus
(m , c)
As given
If a 5-mile ride costs $12 and a 9-mile ride costs $14 .
(5,12) and (9,14)
Formula
[tex](c-c_{1})=\frac{c_{2}-c_{1}}{m_{2}-m_{1}} (m-m_{1})[/tex]
Putting the values in the above
[tex](c-12)=\frac{14-12}{9-5} (m-5)[/tex]
[tex](c-12)=\frac{2}{4} (m-5)[/tex]
[tex](c-12)=\frac{1}{2} (m-5)[/tex]
Therefore the equation used for find cost c for m distance travelled is [tex](c-12)=\frac{1}{2} (m-5)[/tex] .
Option (a) is correct .
