Please answer model 2 Score 06 of 1 pt 21 of 23 23 complete

Please answer model 2

Score: 0.6 of 1 pt 21 of 23 (23 complete) HW Score: 98.26%, 22.6 of 23 pts &1.2.99 Question Help The Cost of Inflation The line graph shows the cost of inflation in some country. What cost $10,000 in 1975 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 1980 of what cost $10,000 in 1975. Answer parts a through c Model 1 C=987x+15,052 Model 2 C=-2x2 + 1058x+14,443 30 20 Year 1980 1990 2000 $35000 (Round to the nearest thousand dollar as needed.) b. Use model 1 to determine the cost in 2000 of what cost $10,000 in 1975 $ 34792 Round to the nearest dollar as needed.) By how much does this differ from your estimate from part (a)? $ 208 (Round to the nearest dollar as needed.) c. Use model 2 to determine the cost in 2000 of what cost $10,000 in 1975 (Round to the nearest dollar as needed.) .. 1.1 Vi :/ | (1,1) More Enter your answer in the answer box and then click Check Answer. part remaining Clear All Check Answer

Solution

Solution:

You have already solved part a and b for it .

Now solve the part C, where we need to use the model 2 , to determine the cost in 2000.

As the model 2 define the cost x years after 1980 .

There are 20 years from 1980 to 2000. So we will plug x = 20 in the model 2 equation and then solve it .

Model 2 equation is given by :

C = -2x² + 1058x + 14,443

Substitute x = 20 in the above equation ,

C = -2(20)² + 1058(20) + 14,443

C = -2(400) + 21160 + 14,443

C = -800 +  21160 + 14,443

C = 34803

So th cost would be $34803.