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Sagot :
Answer:
It's C
Step-by-step explanation:
Just took the quiz and got it right.
The average rate (speed) of a car traveling on a highway, the distance traveler is divided by the time: R=D/T would be c) 6/x^2-6x.
How to find the average rate of change of something?
Let the thing that is changing be y and the thing with which the rate is being compared is x,
then we have the average rate of change of y as x changes as:
[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where when
[tex]x = x_1, y = y_1\\and \\x = x_2, y = y_2[/tex]
The distance traveler is divided by the time: R=D/T.
If the distance is [tex]D=\dfrac{36}{x^2}-36[/tex]miles
the time is [tex]T=6x^2+\dfrac{6x}{x^2}+7x+6\: hours,[/tex]
The average speed of a car traveling = Distance / Time
= [tex]\dfrac{\dfrac{36}{x^2}-36}{6x^2+\dfrac{6x}{x^2}+7x+6}[/tex]
= [tex]\dfrac{{36}-36{x^2}}{6x^4+{6x}+7{x^3}+6{x^2}}[/tex]
= [tex]\dfrac{6}{x^2}-6x[/tex]
Learn more about speed;
https://brainly.com/question/14297576
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