Suppose the following table gives the price of my cell phone bill for the last several years.

a$.$ Explain why the model is not a perfect linear model. $(3)$

b$.$ Explain why the model is not a perfect exponential model. $(3)$

c$.$ Using an exponential model for the bill as a function of price, find the exponential equation that best fits

the data. $(4)$

d$.$ What is the rate at which my bill is increasing as a percent? $(3)$

e$.$ In what year would my bill exceed $$225$ for the first time? $(4)$

f$.$ What will my bill be in $2025?(4)$