**15) The standard: CCSS.MATH.CONTENT.8.F.A.2**

*Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). *

The question:

Timmy and Chet head back to the Glass House in Denver while Sarah, Barry, and Sam continue to ski. Cynthia got confused and ended up in Moab … somehow. Anyways, Timmy and Chet have a cook off. Timmy wakes up early and makes 5 slices of bacon and then Chet gets up and starts cooking right along side him. Chet can produce 7 slices of bacon per hour while Timmy can only make 5. The cook off ends three hours after Chet gets up. Who cooked more bacon?

The answer:

To answer this question we have to make equations for Timmy and Chet’s cooking. Let us set the variable t equal to the time in hours. We will set the variable b equal to the amount of bacon produced after t hours. So our equation for Timmy becomes:

b = 5t + 5 (the plus 5 accounts for the 5 bacon slices Timmy cooked before Chet got up)

And the equation for Chet becomes:

b = 7t

Plugging in 3 for t (since the competition ends 3 hours after Chet wakes up) we get:

b = 5(3) + 5 = 15 + 5 = 20 for Timmy

And

b = 7(3) = 21 for Chet. So Chet wins the cook off by 1 slice of bacon!

If you liked this excerpt, then please be sure to check out, “The Book of Timmy – Time to Burn Off the Bacon,” coming Sunday Sept. 25th!

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