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agasfer [191]
3 years ago
15

The distance a car travels is directly related to the time it travels. The distance is 300 miles when time is 5 hours. What is t

he constant of variation?
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0
Because the distance a car travels is directly related to the time it travels, the distance varies directly with the time: d=a*t. "a" would be the constant of variation. Just substituted the given values(300 and 5) into the equation, and you would get 300=5a. Divide both sides by 5 and you get a=60. So, the constant of variation is 60
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Hey, guys help me answer!
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Hello and Good Morning/Afternoon

<u>Let's take this problem step by step.</u>

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<u>What did we do in this problem</u>

  • we ensured that both sides remained equally balanced in value
  • took everything step-by-step to make sure that there were no mistakes
  • to check it, we can plug it back into the original equation to see if it works

                  5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\

<u>Answer: x = 6</u>

Hope that helps!

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