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. part b: how much time does jack spend jogging every day? part c: is it possible for jack to have spent 60 minutes riding his bike every day? explain your reasoning.

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Step-by-step explanation:

Let x be the number of minutes Jack jogs and y be the number of minutes Jack rides his bike.

Part A.

Jack jogs and rides his bike for a total of 75 minutes every day, then

He rides his bike 15 minutes more than he jogs, then

So, the pair of linear equations to show the relationship between x and y is

Part B.

Substitute the second equation into the first equation:

Jack spends 30 minutes each day jogging.

Part C.

Suppose Jack spends 60 minutes riding his bike every day, then he spends 60 - 15 = 45 minutes jogging every day. In total, he spends 60 + 45 = 105 minutes every day. Since 105 is greater than 75, then it is not possible.

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step-by-step explanation:

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