N(t)=1700/1+169e^-0.625t models thr number of people in a school who have heard a rumor after t days.
How many people started the rumor?
The equation N(t) = 1700 / (1 + 169e^(-0.625t)) models the number of people in a school who have heard a rumor after t days.
To find out how many people started the rumor, we need to look at the initial value of N(t), which occurs when t = 0.
N(0) = 1700 / (1 + 169e^(-0.625*0))
N(0) = 1700 / (1 + 169e^(0))
N(0) = 1700 / (1 + 169*1)
N(0) = 1700 / 170
N(0) = 10
Therefore, 10 people started the rumor.
impatient much?
Once is enough, thank you.
To find the number of people who started the rumor, we need to look at the initial value of the function N(t), which represents the number of people who have heard the rumor after t days.
In this case, the function N(t) is given by: N(t) = 1700 / (1 + 169e^(-0.625t))
To determine the number of people who started the rumor, we need to find the value of N(0), as this represents the initial number of people who have heard the rumor (t = 0 days).
Substituting t = 0 into the function, we get:
N(0) = 1700 / (1 + 169e^(-0.625 * 0))
= 1700 / (1 + 169e^(0))
= 1700 / (1 + 169 * 1)
= 1700 / (1 + 169)
= 1700 / 170
= 10
Therefore, the number of people who started the rumor is 10.
To determine how many people started the rumor, we need to find the initial value of the function N(t) when t = 0.
Given the function N(t) = 1700 / (1 + 169e^(-0.625t)), we substitute t = 0 into the equation:
N(0) = 1700 / (1 + 169e^(-0.625(0)))
= 1700 / (1 + 169e^0)
= 1700 / (1 + 169)
= 1700 / 170
= 10
Therefore, 10 people started the rumor in the school.