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Maths-

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Question

For gym class, Shayla completed a 4-mile walking and running exercise. She ran for 7t miles and she walked for $3 open parentheses 13 over 15 space minus space t close parentheses$ miles, where t is the total amount of time, in hours, Shayla spent running. The equation $7 t plus 3 open parentheses 13 over 15 minus t close parentheses equals 4$ models this situation.
Which of the following is the best interpretation of the value 7 in the equation that models this situation?

Shayla walked at a speed of 7 miles per hour
Shayla ran at a speed of 7 miles per hour
Shayla walked for 7 minutes
Shayla ran for 7 minutes.

The correct answer is: Shayla ran at a speed of 7 miles per hour

Step by step explanation:
Given:
Shayla ran for 7t miles
Shayla walked for $3 open parentheses 13 over 15 minus t close parentheses$ miles
Step 1:
As it is clear in the question, She ran for 7t miles
So, 7 is related to running and not related to walking.
Step 2:
Also, in the question, it is clearly mentioned that Shayla ran 7t distance.
∴ 7t is the distance
Also t represents the total amount of time.
Step 3:
As we know,
7t is distance and t is time.
So, we have to multiply something with t to get the distance.
and, distance = speed × time
$not stretchy rightwards double arrow 7 t equals 7 cross times t$
∴ 7 must be the speed.
Hence, 7 gives the speed of Shayla.

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