In 2005, it took 19.08 currency units to equal the value of 1 currency unit in 1
ID: 3170057 • Letter: I
Question
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. 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.
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.
Explanation / Answer
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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