To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has increased by 9.3%.

Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.

Write an exponential function showing the relationship between y and t.

The formula for exponential growth is:

Total = starting value x (1 + rate)^ time

Using the information in the problem the formula would be:

y = 2300(1.093)^t

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !