The line graph shows the cost of inflation. What cost 10,000 in 1967 dollars would cost the amount shown by the graph in subsequent years.
(Graph cannot copy)
Here are two mathematical models for the data shown by the graph. In each formula, C represents the cost x years after 1980 of what cost 10,000 dollars in 1967 .
$$
\begin{array}{l} \text{Model 1}{C=1388 x+24,963} \\ \text{Model 1}{C=3 x^{2}+1308 x+25,268}\end{array}
$$
Use these models to solve.
a. Use the graph to estimate the cost in 2000 , to the nearest thousand dollars, of what cost 10,000 dollars in 1967 .
b. Use model 1 to determine the cost in 2000 . How well does this describe your estimate from part (a)?
c. Use model 2 to determine the cost in $2000 .$ How well does this describe your estimate from part (a)?