From 1980 to 1990, the consumer price index (cpi) increased from 74.4 to 128.7. if a gallon of apple juice cost $0.78 in 1980 and the price of apple juice increased at the same rate as the cpi from 1980 to 1990, approximately how much did a gallon of apple juice cost in 1990?

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

part a: 1.08

part b: 27.59