During your morning workout you run for 20 seconds for every 3 seconds you sprint. Write a proportion that shows the relationship between the number of seconds you run, the number of seconds you sprint, and the constant of proportionality

Question

03-11-2022
Mathematics

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During your morning workout you run for 20 seconds for every 3 seconds you sprint. Write a proportion that shows the relationship between the number of seconds you run, the number of seconds you sprint, and the constant of proportionality

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AriezK415741 AriezK415741 · Answer 1 · 2022-11-03T22:09:43+01:00

During your morning workout you run for 20 seconds for every 3 seconds you sprint. Write a proportion that shows the relationship between the number of seconds you run, the number of seconds you sprint, and the constant of proportionality

In the part 1 we calculate the constant of proportionality

k=20/3

Remember that

y -----> the number of seconds you run

x -----> the number of seconds you sprint

so

The linear equation that represent the relationship between x and y is

y=(20/3)x

the proprtion is

y/x=20/3

k=20/3

Part 3

Rewrite the proportion as an equation to represent the number of seconds you run in terms of the number of seconds you sprint

the proportion is

y/x=20/3

frewrite as equation