John ran 3 miles in 25.2 minutes. The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. What is the constant of proportionality? What does the constant of proportionality represent in the context of the problem?
Mathematics · High School · Tue Nov 03 2020
Answered on
Given:
John ran 3 miles in 25.2 minutes.
The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes.
a.) What is the constant of proportionality?
b.) What does the constant of proportionality represent in the equation?
Explanation:
a.) The constant of proportionality of a variable simply refers to the value or the ratio between two proportional quantities, mainly x and y. The quantities are considered to be proportional when the value of x increases, as the value of y also increases. If the value of x decreases, then the value of y decreases.
b.) Given in the equation y = 8.5x, the constant of proportionality is 8.5, since it is represented as k, and it is the depending factor for the value of y.