setting the switch on n produces 3^n pizzas
3^2.096 = 10
3^4.192 = 100
3^6.288 = 1000
d. ?
When they dial 3 and turn the oven on, it is like pushing the old button 3 times. That means if they start with one pizza in the oven, dial 3, and turn the oven on, they will get 27 pizzas. (33 = 27)
Then if they dial -3 and turn the oven on it is like flicking the old switch three times. If they started with one whole pizza, dialed –3, and turned the oven on, they would get of a pizza. (3–3 =)
The advantage is they can dial numbers, both positive and negative that are not integers. If they start with one whole pizza, dial and turn the oven on, you saw in class they got about 1.73 pizzas. (31/2 ≈ 1.73)
a. If they start with 1 whole pizza, what should they dial, so they come out with 10 pizzas after they turn the oven on. (Hint. Between what whole numbers should they set the dial? You’ll need to guess several numbers and check on your calculator. See how close you can get to 10. )
b. They are expecting a BIG party. If they put one pizza in the oven, what should they dial so they will have 100 pizzas after they turn the oven on? How should your answer to this question relate to your answer in part (a)?
c. If they start with one pizza what should they dial to get 1000 pizzas?
d. If they start with one pizza what should they dial to get of a pizza?
1 answer
1 answer