At 9: 00, paula has x cups of food in a container for her dog. paula pours a 2 1/2 cup box of food into the container. then she removes 3/4 cup of food to feed her dog. now there are 5 1/4 cups of food in the container. write an equation that can be used to determine the number of cups, x, of food in the container at 9: 00. write the solution to your equation.

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: