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Answer:
The inverse of f(x) is
Step-by-step explanation:
To find the inverse of the function , perform the following steps:
1) do
2) Solve the equation for the variable x.
3) exchange the variable x with the variable y
---->
4) Change the variable y by
Finally the inverse function is:
CPI in 1960 = 29.6
CPI in 1980 = 82.4
Growth (%) in CPI = × 100
⇒ Growth (%) in CPI = × 100
⇒ Growth (%) in CPI = 178.3783.. %
⇒ Growth (%) in CPI = 178.4%
Now, we know that price of frozen chicken pie in 1960 = $0.28
Also, we know that over 1960 to 1980, frozen chicken pie price grew at the same rate as CPI
Hence, Price of Chicken Pie in 1980 = Price of Chicken Pie in 1960 × (1 + Growth in CPI)
⇒ Price of Chicken Pie in 1980 = 0.28 × (1 + 178.4%)
⇒ Price of Chicken Pie in 1980 = 0.28 + (0.28 × 178.4%)
⇒ Price of Chicken Pie in 1980 = 0.28 + 0.49952
⇒ Price of Chicken Pie in 1980 = 0.28 + 0.50
⇒ Price of Chicken Pie in 1980 = $0.78
Hence, price of chicken pie in 1980 would be ~$0.78