if a phone team asks each person to call two people, how many rounds will it take to call 64 people?
1 > 2
2 > 4
4 > 8
8 > 16
16 > 32
After 5 rounds, 62 people have been called.
To find out the number of rounds it will take to call 64 people, we need to understand the pattern of the phone calls.
In the first round, every person in the team makes two calls. Let's assume there are N people in the phone team. So, in the first round, each of the N people makes two calls, which results in 2N calls.
In subsequent rounds, the people who received calls in the previous round make their own calls. So, the number of calls in each round is double the number of people who received calls in the previous round.
Let's break it down step by step:
Round 1: 2N calls
Round 2: 2 * 2N = 2^2 * N calls
Round 3: 2 * 2^2 * N = 2^3 * N calls
Round 4: 2 * 2^3 * N = 2^4 * N calls
From this pattern, we can see that the number of calls in each round follows the sequence 2^k * N, where k represents the round number starting from 0.
Now let's analyze the problem:
We need to make a total of 64 calls.
2^k * N = 64
Dividing both sides of the equation by N, we get:
2^k = 64 / N
To find the value of k, we need to find the power of 2 that equals 64/N. In this case, N is the number of people in the phone team.
As you haven't specified the number of people in the phone team, I can't calculate the exact number of rounds it will take to call 64 people.
But by plugging in the value of N (the number of people in the team), you can calculate the number of rounds required to call 64 people using the equation 2^k = 64 / N.