The table shows the rates of two taxi services. How many miles do you need to travel for Taxi 2 to be the better deal? Taxi 1: Initial fee: $2.75
Rate per mile: $2.00

Taxi 2: Initial fee: $4.50
Rate per mile: $1.75

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: