Question

The price of 9-volt batteries is increasing according to the function below,where is years after January 1, 1980. During what year will the prIce reach$5?

Answer 1

Step-by-step explanation

The price model is given by the exponential equation below.

When the price becomes $, we will have;

`\begin{gathered} 5=1.1e^(0.047t) \\ Divide\text{ both sides by 1.1} \\ (5)/(1.1)=e^(0.047t) \\ take\text{ the natuaral logarithm of both sides} \\ ln((5)/(1.1))=ln(e^(0.047t)) \\ ln((5)/(1.1))=0.047t \\ t=ln((5)/(1.1))/0.047 \\ t=32.22\text{ years} \end{gathered}`

Therefore, by adding 32 to the years 1980. The batteries will cost 5$ in the year

Answer: 2012.