Gabriel filled up his car with gas before embarking on a road trip across the country the number of gallons of gas remaining in his gas tank after x hours of driving can be determined using the function G(x)=-1.5x+12
What is the y intercept of the function and what is it’s interpretation in the context of the problem

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: