Solve the problem.The line graph shows the cost of inflation. What cost $5000 in 1980 would cost the amount shown by the graph in subsequent years. Below are two mathematical models for the data shown in the graph. In each formula, C represents the cost x years after 1985 of what cost $5000 in 1980. Model 1: C = 798x + 17,521 Model 2: C = -x2 + 820x + 18,017(i) Use the graph to estimate the cost in 2000, to the nearest thousand dollars, of what cost $5000 in 1980.(ii) Use model 1 to determine the cost in 2000. How well does this describe your estimate from part (i)?(iii) Use model 2 to determine the cost in 2000. How well does this describe your estimate from part (i)?

Question

A. (i) about $28,000; (ii) about $29,491, reasonably well; (iii) about $28,452, reasonably well
B. (i) about $29,000; (ii) about $29,491, reasonably well; (iii) about $30,092, reasonably well
C. (i) about $30,000; (ii) about $30,289, reasonably well; (iii) about $30,912, reasonably well
D. (i) about $27,000; (ii) about $28,693, reasonably well; (iii) about $29,272, reasonably well

Answer 1

Answer: B