As part of a new fitness plan, Sabir runs on a treadmill at the same speed for 15 minutes every morning. The table shows the calories he burns over time.

Time (in minutes) 3 , 6, 9, 12,

Number of calories
Burned 15, 30, 45, 60,

Write an equation to represent the relationship between the time Sabir runs and the number of calories he burns. Use x as the independent variable and y as the dependent variable.

To write an equation that represents the relationship between the time Sabir runs (x) and the number of calories he burns (y), we can use the information given in the table.

Looking at the table, we can observe that as the time (x) increases, the number of calories burned (y) also increases.

We can see that when x=3, y=15 and when x=6, y=30. This implies that for every additional 3 minutes of running, the number of calories burned increases by 15.

Therefore, we can determine that y is directly proportional to x with a constant of proportionality equal to 15/3, or 5.

Therefore, the equation that represents the relationship between x and y is:

y = 5x

In this equation, x represents the time Sabir runs (in minutes), and y represents the number of calories he burns.

note that as x increases by 3, y increases by 15. So, the slope is 15/3=5

y = 5x