cococoll25
contestada

Amanda is choosing between two exercise routines.
In Routine #1, she does only running, 15.5 burning calories per minute.
In Routine #2, she burns 22 calories walking. She then runs at a rate that burns 12.75 calories per minute.
For what amounts of time spent running will Routine #1 burn more calories than Routine #2?
Use t for the number of minutes spent running, and solve your inequality for .

Respuesta :

absor201

Amanda needs to spend more than 8 minutes on Routine 1 to burn more calories.

Step-by-step explanation:

Given,

Calories burned in Routine 1 = 15.5 calories per minute

Let,

t represents the number of minutes spent running.

Total calories burned = T

T = 15.5t   Eqn 1

Calories burned in Routine 2 = 22 calories walking + 12.75 per minute

T = 12.75t + 22    Eqn 2

For burning more calories in Routine 1;

Eqn 1 > Eqn 2

[tex]15.5t>12.75t+22\\15.5t-12.75>22\\2.75t>22[/tex]

Dividing both sides by 2.75

[tex]\frac{2.75t}{2.75}>\frac{22}{2.75}\\t>8[/tex]

Amanda needs to spend more than 8 minutes on Routine 1 to burn more calories.

Keywords: linear inequality, division

Learn more about division at:

  • brainly.com/question/6073431
  • brainly.com/question/6069822

#LearnwithBrainly

Otras preguntas