Question

Question Help In 2005, it took 20.29 currency units to equal the value of 1 currency unit in 1917. In 1990, it took only 13.10 currency units to equal the value of 1 currency unit in 1917 The amount it takes to equal the value of 1 currency unit in 1917 can be estimated by the linear function V given by V(x) = 0.4925x + 13.7485 where x is the number of years since 1990 Thus, V(11) gives the amount it took in 2001 to equal the value of 1 currency unit in 1917. Complete parts (a) and (b) below a) Use this function to predict the amount it will take in 2011 and in 2019 to equal the value of 1 currency unit in 1917​

Answer 1

The amount it took in 2011 to equal the value of 1 currency unit in 1917 was of 24.091 currency units.

The amount it took in 2019 to equal the value of 1 currency unit in 1917 was of 28.031 currency units.

Explanation:

The value needed to equal the value of 1 currency unit in 1917, in x years after 1990, is given by:

`V(x) = 0.4925x + 13.7485`

a) Use this function to predict the amount it will take in 2011 and in 2019 to equal the value of 1 currency unit in 1917​

2011 is 2011 - 1990 = 21 years after 1990, so we have to find V(21).

`V(21) = 0.4925*21 + 13.7485 = 24.091`

The amount it took in 2011 to equal the value of 1 currency unit in 1917 was of 24.091 currency units.

2019 - 1990 = 29, so we also to find V(29).

`V(29) = 0.4925*29 + 13.7485 = 28.031`

The amount it took in 2019 to equal the value of 1 currency unit in 1917 was of 28.031 currency units.