Question

2.Lucas recorded the number of Calories he burned while jogging. The number of

Calories he burned while jogging is proportional to the number of minutes jogged.
Number of
Minutes, x
5
10
15
20
Calories Burned,
y
47.5
95.0
142.5
190.0
Part A. Write an equation that represents this relationship.
Part B. Find the constant of proportionality and interpret its meaning.

Answer 1

Since the number of calories burned is proportional to the number of minutes jogged, we can represent this relationship using the equation y = kx, where y is the number of calories burned, x is the number of minutes jogged, and k is the constant of proportionality.

To find the value of k, we can use one of the given data points. For example, if x = 10 and y = 95, we have 95 = k * 10. Solving for k, we find that k = 9.5.

The constant of proportionality, k, has the meaning of the number of calories burned per minute of jogging. In this case, k = 9.5 calories/minute, so for every minute of jogging, the person burns 9.5 calories.

Explanation: