At a grocery store, a bin is filled with trail mix made by mixing raisins with a large 30-pound bag of nuts, Zane buys a small bag of a trail
mix that contains 1 pounds of nuts and pound of raisins. If the
nuts and raisins in Zane's bag are proportional to the nuts and raisins
in the bin of trail mix, how many pounds of raisins do you think the
store used to make the entire bin of trail mix?

the answer is b.)

< 1=< 2

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:

the answer is 40.

proof: