A chain email tells people to forward the email to 10 friends in order to have good luck. Assuming that everyone in the chain actually follows the directions, create a sequence to show how many people will get the email after 5 rounds of forwarding.(2 points)

10, 100,
,
,
. . .

2 answers

To represent how many people will get the email after 5 rounds of forwarding, we start with the first sender and assume each person forwards the email to 10 friends.

  1. Initial sender (Round 0): 1 person gets the email.
  2. Round 1: The initial sender forwards it to 10 friends. Total: 10
  3. Round 2: Each of those 10 friends forwards it to 10 more friends, resulting in 10 * 10 = 100 new recipients. Total: 100
  4. Round 3: Each of those 100 friends forwards it to 10 more friends, resulting in 100 * 10 = 1,000 new recipients. Total: 1,000
  5. Round 4: Each of those 1,000 friends forwards it to 10 more friends, resulting in 1,000 * 10 = 10,000 new recipients. Total: 10,000
  6. Round 5: Each of those 10,000 friends forwards it to 10 more friends, resulting in 10,000 * 10 = 100,000 new recipients. Total: 100,000

Now, putting it all together, the sequence of people who receive the email after each round is:

  • Round 1: 10
  • Round 2: 100
  • Round 3: 1,000
  • Round 4: 10,000
  • Round 5: 100,000

Thus the sequence you provided would be completed as follows:

10, 100, 1,000, 10,000, 100,000.

Use the image to answer the question.

An L-shaped curve is plotted on a coordinate plane where the x-axis ranges from negative 10 to 20 and the y-axis ranges from 0 to 30, both by 2-unit increments. The curve passes through 3 marked and labeled points.

A boat washes up onto an island, introducing 25 rabbits into the environment. The rabbits multiply at a rate of 50 percent every month. Does this graph accurately model the situation? Enter 1 for yes or 2 for no.

(1 point)
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