Algebra-1

To find the correct equation that represents the relationship between X (Time in minutes) and Y (Calories burned), we can use the given data points to determine the equation of the line that best fits the data.

Let's analyze the given data points:

(30,300) (45,450) (60,600) (90,900)

From these points, we observe that as X (Time) increases, Y (Calories) also increases. This suggests a linear relationship between X and Y.

To find the equation of the line, we can use the slope-intercept form: Y=mx+b, where m is the slope and b is the y-intercept.

Let's calculate the slope m:

Using points (30,300) and (90,900):

Now that we have the slope m=10, we can use the point-slope form of the equation of a line to find b:

Click "Show Answer" to reveal the answer and analysis