One company that experienced huge pandemic$-$related growth was Zoom. Use technology to help you answer the questions below comparing Zoom's pre$-$pandemic and post$-$pandemic revenues.

a$.$ Zoom reports revenue quarterly, so in this problem we will use the input variable $q$ to represent the number of quarters, with the first quarter represented in the table corresponding to $q=0.$ Complete the $q-$values in the table, plot the data, select an appropriate modeling type and find the modeling equation.

$\backslash$table$[[$Quarter$,q,$Zoom Revenue $($$ millions$)],[2019$ Q$1,0,65\mathrm{.}1],[2019$ Q$2,1,83\mathrm{.}7],[2019$ Q$3,,98\mathrm{.}9],[2019$ Q$4,,118\mathrm{.}8],[2020$ Q$1,,137\mathrm{.}5],[2020$ Q$2,,158\mathrm{.}6],[2020$ Q$3,,175\mathrm{.}2],[2020$ Q$4,,196\mathrm{.}0]]$

b$.$ The data below is post$-$pandemic data for Zoom revenue. Again, let the first quarter represented in the table correspond to $q=0.$ Complete the table, plot the data, select an appropriate modeling type and find the modeling equation.

$\backslash$table$[[$Quarter$,q,$Zoom Revenue $($$ millions$)],[2021$ Q$1,0,320],[2021$ Q$2,1,660],[2021$ Q$3,,790],[2021$ Q$4,,880],[2022$ Q$1,,950],[2022$ Q$2,,1010],[2022$ Q$3,,1050],[2022$ Q$4,,1070]]$

c$.$ Discuss the rate of change of Zoom's revenue before the pandemic. Refer to your model from part $($a$)$ in your answer.

d$.$ The rate of change of Zoom's revenue after the pandemic was not constant, based on the data and model from part $($b$).$ Select one of the statements below that you agree with, and then write a few sentences explaining why you chose that statement. Support your answer with good mathematics!

i$.$ Zoom revenue was increasing before the pandemic began and continued to increase at about the same rate after the pandemic began.

ii$.$ Zoom revenue after the pandemic began increased much more quickly than before. This trend is still true by the end of $2022.$

iii. Zoom revenue after the pandemic began increased much more quickly than before. By the end of $2022,$ the rate of change in revenue has returned to about what it was before the pandemic.