The graph shows how the volume of a gas sample changes as the temperature changes and the pressure remains constant.
Gas Sample
351
30
Volume of Gas (ml)
25
40
80
20!
20
60
106
Temperature (°C)
Which of these best represents the rate of change in the volume of the gas sample with
respect to the temperature?
100 ml/°C
100
G
ml/°C
H 12 ml/°C
3 22 mL/°C

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

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: