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Gwen, Tristan and Keith like to work out at the gym . They each have an app on their phone that estimates the calories they burn . By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned

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Based on the above scenario, an equation that shows how much Gwen paid. The equation for Gwen is y = 100 + 10x

  • The equation for Tristan is y = 12.5x
  • The equation for Keith is y = 10x.

What is the  equation  about?

Since Gwen burns  about 10 cal/min. THen she had used up 100 calories if Tristan and Keith began ar (Y g=100 if  x=0)

Then Y(g)= 10x + 100

Since Tristan is known to burns 125 cal in 10 minutes always, then one can write her own as 12.5 cal every minute.

Therefore Y (t) = 12.5x

Since Keith burns 300 calories in 30 min always, or 10 calories in every minute.

Then Y (k) = 10x

The   general function of y:

y=10x +100 + 12.5x + 10x

y = 32.5x + 100

Therefore, Based on the above scenario, an equation that shows how much Gwen paid. The equation for Gwen is y = 100 + 10x

  • The equation for Tristan is y = 12.5x
  • The equation for Keith is y = 10x.

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