Astore selling school supplies advertises a bundle deal. the consumer can pick a backpack, a binder, a pack of pencils, and notebook paper for a set price. there are 4 types of backpacks, 3 types of binders, 6 types of pencils, and 2 types of notebook paper. how many outcomes are possible in this bundle?

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: