(04.01, 04.02 HC)

Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer than he plays volleyball.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Eric plays basketball (x) and the number of minutes he plays volleyball (y) every day. (5 points)

Part B: How much time does Eric spend playing volleyball every day? Show your work. (3 points)

Part C: Is it possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95 minutes and plays basketball for 25 minutes longer than he plays volleyball? Explain your reasoning. (2 points)

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

Here, let Eric plays basketball for x minutes.

and volleyball for y minutes.

Total time spend on playing basketball and volleyball everyday = 95 minutes.

Duration of Basketball 25 minutes more than volleyball

Now, according to question,

x + y = 95 ..........(i)

x - 25 = y ...........(ii)

On solving equation (i) and (ii), we get

x + x - 25 = 95

2x = 95 + 25

2x = 120

x = 120 / 2

x = 60

put value of x in equation (ii), we get

60 - 25 = y

y = 35

Yes, it is possible and clearly described in above calculation.

Thus, Eric spend 60 minutes for basketball and 35 minutes for volleyball.

Learn more about Linear Equation from:

https://brainly.com/question/11897796

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