In the equation D = rt, the r stands for rate. The equation is saying that distance equals the rate at which you traveled multiplied with the time you traveled. In other words, r is the speed traveled. Example: If the rate at which you travel is 35 miles per hour and you traveled for 2 hours, then you have traveled 35 miles times 2 or 70 miles.
Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:

Where,
is the initial value, k is the growth constant and t is the number of years.
Putting
in the above formula, we get



Taking ln on both sides, we get

![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)



Therefore, the number of bacteria will be 15,000 after 0.575 hours.
Answer:
x<3
Step-by-step explanation:
5x+2<17
Subtract 2 from both sides.
5x<17−2
Subtract 2 from 17 to get 15.
5x<15
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x=15/5
Divide 15 by 5 to get 3.
x<3
So for they have won 60% of their games. if you carry this logic through for a total of 25 games, u can predict that they will win 15/25 games
Wait what are you asking?