A study in a small town showed that the percent of residents who have college degrees can be modeled by the function $P = 32 x ^ { 0.31 }$ of years from 2015 . , where x is the number of years from 2010 . Rewrite the model with x equal to the number
A) $\mathrm { P } = 32 \mathrm { x } 0.31 + 5$
B) $P = 32 ( x + 5 ) ^ { 0.31 }$
C) $P = 32 ( x - 5 ) ^ { 0.31 }$
D) $P = 32 x ^ { 0.31 } - 5$

Question

A study in a small town showed that the percent of residents who have college degrees can be modeled by the function $P = 32 x ^ { 0.31 }$ of years from  2015 . , where  x  is the number of years from 2010 . Rewrite the model with  x  equal to the number
A) $\mathrm { P } = 32 \mathrm { x } 0.31 + 5$
B) $P = 32 ( x + 5 ) ^ { 0.31 }$
C) $P = 32 ( x - 5 ) ^ { 0.31 }$
D) $P = 32 x ^ { 0.31 } - 5$

Quizplus · Accepted Answer

The original function is given in terms of years from 2010. To rewrite it for years from 2015, we need to adjust the variable $x$ to account for the 5-year difference. This is done by substituting $x + 5$ for $x$, resulting in $P = 32 ( x + 5 ) ^ { 0.31 }$.

A Study in a Small Town Showed That the Percent P=32x0.31P = 32 x ^ { 0.31 }P=32x0.31

A Study in a Small Town Showed That the Percent $P = 32 x ^ { 0.31 }$