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).
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?
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
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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