Answer:
(a) T = (15 + 16p) minutes
(b) It will takes approximately 239 minutes to prepare a turkey weighing 14 pounds
Step-by-step explanation:
(a) To determine the total time T needed to preheat the oven and then bake a turkey weighing p pounds
We will sum the time needed to preheat the oven to the time needed to bake the turkey.
From the question,
It takes 15 minutes to preheat the oven to 325 degrees;
Also,
It takes 16 minutes per pound to bake a turkey in the preheated oven.
That is, to bake a turkey weighing p pounds in the preheated oven, it will take
p pounds × 16 minutes / pound = 16p minutes
Hence, the total time T needed to preheat the oven and then bake a turkey weighing p pounds is
T = 15 minutes + 16p minutes
T = (15 + 16p) minutes
This is the formula that express the total time T, in minutes, needed to preheat the oven and then bake a turkey
(b) To find the approximate time required to prepare a turkey weighing 14 pounds.
From the formula in (a)
T = (15 + 16p) minutes
where p is the weight in pounds of a turkey
Then,
T = 15 + 16(14)
T = 15 + 224
T = 239 minutes
Hence, it will takes approximately 239 minutes to prepare a turkey weighing 14 pounds
