Alexa's babysitting business charges a flat rate of $40 per month, plus $10 per hour that she babysits. Nick's babysitting service does not charge a monthly fee, but does charge $50 per hour that he babysits. Write an equation to find the number of hours h for which Alexa and Nick would charge the same amount

Let, after h hours both would charge the same amount.

Money charged by Alexa in h hours :

A = 40 + 10h     1)

Money charged by Nick in h hours :

N = 0 + 50h       2)

For equal charge :

A = N

40 + 10h = 50h

40h = 40

h = 1 hour

Therefore, Alexa and Nick would charge the same amount at first hour.

Hence, this is the required solution.

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: