At 2:00 p. m., two cars are at the same location. They begin driving in opposite directions. Car 1 travels at 65 miles per hour. Car 2 travels at 55 miles per hour. At what time are there 300 miles between the two cars? 2:03 p. m. 4:30 p. m. 5:30 p. m. 6:30 p. m.

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: