Question

Jack jogs and rides his bike for a total of 75 minutes every day. He rides his bike 15 minutes more than he jogs.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Jack jogs (x) and the number of minutes he rides his bike (y) every day.
A. x + y = 75, y = x + 15
B. x + y = 75, y = x - 15
C. x - y = 75, y = x + 15
D. x - y = 75, y = x - 15

Answer 1

The correct answer is A.

Answer 2

The pair of linear equations that represent the relationship between the number of minutes Jack jogs and the number of minutes he rides his bike every day is option A, which is x + y = 75 and y = x + 15.

Step-by-step explanation:

The pair of linear equations that represent the relationship between the number of minutes Jack jogs (x) and the number of minutes he rides his bike (y) every day is option A, which is x + y = 75 and y = x + 15.

Let's break it down:

1. Since Jack jogs and rides his bike for a total of 75 minutes every day, the sum of the minutes he jogs and rides his bike must equal 75, hence x + y = 75.
2. Given that he rides his bike 15 minutes more than he jogs, we can set up the equation y = x + 15.

Therefore, the correct answer is option A: x + y = 75, y = x + 15.