Per capita consumption of fresh vegetables

in a certain country

$($a$)$ Find the function of the quadratic model that gives the per capita consumption of fresh vegetables in pounds per person, where $t$ is the number of years since $1980,$

with data from $0t20.$ Examine the equation graphed on a scatter plot of the data. $($Round all numerical values to three decimal places.$)$

$V(t)=V(t)=-0\mathrm{.}524t2+20\mathrm{.}404t+148\mathrm{.}1$

$($b$)$ Do you believe that the equation in part $($a$)$ is a good fit?

The model does not appear to be a good fit.

The model appears to be a good fit.

This cannot be determined.

$($c$)$ The per capita consumption in $2001$ had not yet been tabulated when the data in the table were published. What does the quadratic model give as the per capita

consumption in $2001?($Round your answer to one decimal place.$)$

X pounds per person

$($d$)$ According to your model, in what year will consumption exceed $225$ pounds per person.