A basketball player makes an average of 10 points for every 15 shots taken. Each shot made by the player is a 2-point shot. The variables in this situation are the number of 2-point shots taken and the number of points made.
What is the rate of change for this situation? Express your answer as a fraction.
To find the rate of change for this situation, we need to determine the change in the number of points made for a certain change in the number of shots taken.
We know that the basketball player makes an average of 10 points for every 15 shots taken.
So, for every 15 shots taken, the number of points made increases by 10.
To express this rate of change as a fraction, we can write it as:
Rate of Change = Change in Points/Change in Shots
Since the change in points is 10 and the change in shots is 15, we have:
Rate of Change = 10/15
Now, we can simplify this fraction. Both 10 and 15 are divisible by 5:
Rate of Change = 2/3
Therefore, the rate of change for this situation is 2/3.