Anew hybrid car has a 18-gallon gas tank. on one tank of gas, the owner can drive 540 miles. the number of miles traveled varies directly with the number of gallons of gas the car uses. a. write an equation that relates the number of miles traveled with the number of gallons of gas used. b. how many miles can the owner travel on 12 gallons of gas?

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: