To begin a bacteria study, a petri dish had 1800 bacteria cells. each hour since, the number of cells has increased by 15%.
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 exponential function is

Step-by-step explanation:

Given

be the number of hours.

number of bacteria cells.

And we know that an exponential function is ,where is a positive real number, and in which the argument occurs as an exponent

The petri dish has bacteria cells we can say that

In the equation as is function of  time and will vary as for respective hours.

To find the value of we have to understand that it is dependent on percent increase if there is increment of then

So the exponential function will be ,plugging the values it will be equivalent to

Check:

So in first hour the cells will increased by a quantity of cells.

The number of cells after an hour in the petri dish

That can also be from the formula.

So the exponential function is

will increase exponentially as the value of increase.