Determine the rate of change of Squeaky's clean car wash.
[tex]\begin{gathered} m=\frac{13-8}{10-5} \\ =\frac{5}{5} \\ =1 \end{gathered}[/tex]So rate of change of Squeaky's clean car wash is 1. This means that Squeaky's car wash cost $1 for 1 minute.
b.
Determine the rate of change of Euclid's car wash.
[tex]\begin{gathered} m^{\prime}=\frac{6-4}{6-0} \\ =\frac{2}{6} \\ =\frac{1}{3} \end{gathered}[/tex]The rate of change of Euclid's car wash is 1/3. This means that Euclid's car wash cost $1 for 3 minutes or $1/3 for one minute.
c.
The rate of change for Squeaky's car is 1 where as for Euclid's car is 1/3. The rate of change Squeaky's car wash is more than Euclid's car wash.
From the graph it can be observed that for 12 minutes wash Euclid's car wash cost is $8.
Fo every minute the Squeaky's clean car wash cost is $1. From table it can be observed that for 10 min wash Squeaky's clean car wash cost $13. So for 12 min it cost $15.
Thus Euclid's car wash cost less as compare to Squeaky's clean car wash (for 12 minutes car wash).
Answer: Euclid's car wash is better deal as it cost less as compare to Squeaky's clean car wash.
