Using data in a car$$ magazine, we constructed the mathematical model

y equals $100$ e Superscript negative $0\mathrm{.}08018$ ty$=100$e$0\mathrm{.}08018$t

for the percent of cars of a certain type still on the road after t years. Find the percent of cars on the road after the following number of years.$$

$$a$.)0$ b$.)5$

Then find the rate of change of the percent of cars still on the road after the following numbers of years.

$$c$.)0$ d$.)5$

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Part $1$

$$a$.)$

enter your response here$\%$

of cars of a certain type are still on the road after $0$ years.

$($Round to the nearest whole number as$$ needed.$)$