rafael runs each lap in 7 minutes. he will run at least 12 laps today. what are the possible numbers of…

rafael runs each lap in 7 minutes. he will run at least 12 laps today. what are the possible numbers of minutes he will run today? use t for the number of minutes he will run today. write your answer as an inequality solved for t.

rafael runs each lap in 7 minutes. he will run at least 12 laps today. what are the possible numbers of minutes he will run today? use t for the number of minutes he will run today. write your answer as an inequality solved for t.

Answer

Explanation:

Step1: Define the relationship

Each lap takes 7 minutes, and he runs at least 12 laps. Let ( t ) be the total minutes. The total time ( t ) is the number of laps times 7 minutes per lap. Since he runs at least 12 laps, the number of laps is ( \frac{t}{7} ) (because ( t = 7 \times \text{number of laps} ), so number of laps ( = \frac{t}{7} )). "At least" means greater than or equal to, so ( \frac{t}{7} \geq 12 ).

Step2: Solve for ( t )

Multiply both sides of the inequality ( \frac{t}{7} \geq 12 ) by 7 to isolate ( t ). We get ( t \geq 7\times12 ). Calculating ( 7\times12 = 84 ), so ( t \geq 84 ).

Answer:

( t \geq 84 )