Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Joe ran 400 meters in 1.5 minutes and 800 meters in 3 minutes. Is there a proportional relationship between number of meters Joe ran the number of minutes he ran?

Sagot :

theleangreenbean

Proportional Relationships

The relationship between two variables are proportional if their ratios are equivalent (taken from Khan Academy).

To determine whether or not a relationship is proportional, we can see if two given ratios are the same.

Solving the Question

We're given:

  • Joe ran 400 meters in 1.5 minutes
  • Joe ran 800 meters in 3 minutes

These pieces of information are ratios. We can write them in the following format:

[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}[/tex] and [tex]\dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]

We can see if they're equivalent by finding a common denominator.

Multiply the first ratio by [tex]\dfrac{2}2[/tex]:

[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}*\dfrac{2}{2}\\\\= \dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]

The ratios are equivalent. Therefore, the relationship between the number of meters Joe ran and the number of minutes he ran is proportional.

Answer

Yes, there is a proportional relationship.

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.