For Carl's birthday, his grandparents gave him a $50 gift card to a local movie theater. The theater charges $6 admission for each movie. How can Carl use an arithmetic sequence to determine the value left on his card after each movie he sees?

50 - 6x = leftover value

Step-by-step explanation:

X is the amount of movies he has seen (pays $6 for each movie)

30

step-by-step explanation:

times by times

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: