During a certain epidemic, the number of people that are infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?

9514 1404 393

  1367 people

Step-by-step explanation:

The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...

  i(t) = 1000(1.2^(t/7))

After 12 days, the number infected is modeled as ...

  i(12) = 1000(1.2^(12/7)) ≈ 1367

About 1367 people are infected 12 days after discovery.

C)There is not enough information to make a decision.

Step-by-step explanation:

simple interest

I= PRT

I = 6000* .07 * 6 = 2520

compound interest

I = P(1 + r/n) ^ nt

I = 6000(1 +

wait a minute

we don't know the compounding term

is it quarterly, annually, monthly