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In 2005, it took 19.08 currency units to equal the value of 1 currency unit in...

In 2005, it took 19.08 currency units to equal the value of 1 currency unit in 1917. In 1990, it took only 13.90 currency units to equal the value of 1 currency unit in 1917. The amount it takes to equle the value of 1 currency unit in 1917 can be estimated by the linear function V given by V(x)=0.3514x + 14.4472, 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.

a) use this function to predict the amount it will take in 2014 and in 2022 to equal the value of 1 currency unit in 1917.

In 2014, it will take currency units.

In 2022, it will take currency units.
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Answer #1

The number of currency units (V) it takes to equal the value of 1 currency unit in 1917 can be estimated by the linear function given by V(x) = 0.3514x + 14.4472, where x is the number of years since 1990.

a). In 2014, x = 2014-1990 = 24 so that V(24) = 0.3514 *24 + 14.4472 = 8.4336+14.4472 = 22.8808 , say 22.88 ( on rounding off to 2 decimal places).Thus, in 2014, it will take 22.88 currency units.

b). In 2022, x = 2022-1990 = 32 so that V(24) = 0.3514 *32 + 14.4472 = 11.2448+14.4472 = 22.692 , say 22.69 ( on rounding off to 2 decimal places).Thus, in 2022, it will take 25.69 currency units.

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