Question

In 2005​, it took 20.46 currency units to equal the value of 1 currency unit in 1916. In 1990​, it took only 13.30 currency units to equal the value of 1 currency unit in 1916. The amount it takes to equal the value of 1 currency unit in 1916 can be estimated by the linear function V given by V(x)= ​0.4875x +13.8414, 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 1916. Complete parts​ (a) and​ (b) below.
A)In 2012, it will take ___ currency units

Answer 1

A) 2012 is 22 years since 1990, therefore x = 22. Then V(22) = 0.4875*22 + 13.8414 = 24.5664. This value of V(22) is the amount equivalent to 1 currency unit in 1916. Therefore, in 2012, it will take 24.5644 currency units.
*The question for part b is not given.