COLLEGE ALGEBRA (Math)

Question

In 2005​, it took 21.05 currency units to equal the value of 1 currency unit in 1917. In 1990 ​, it took only 13.80 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) = 0.4969x + 14.4414 ​, where x is the number of years since 1980. ​Thus, V(11) gives the amount it took in 2001 to equal the value of 1 currency unit in 1997.

Answer 1

Identify the given information.

We are given a linear function V(x) = 0.4969x + 14.4414, where x represents the number of years since 1980, and V(x) represents the amount it takes to equal the value of 1 currency unit in 1917. We are also given data points for 2005 and 1990. However, this additional data is not directly used in the problem.

Understand the question.

The question asks us to find V(|11|), which represents the amount it took in 2001 to equal the value of 1 currency unit in 1917 (not 1997 as stated in the problem; there seems to be a typo in the question). The absolute value of 11 is simply 11.

Calculate V(11).

Substitute x = 11 into the linear function:

V(11) = 0.4969 * 11 + 14.4414

V(11) = 5.4659 + 14.4414

V(11) = 19.9073

State the final answer.