Question

The table shows the predicted growth of bacteria after various numbers of hours. Write an explicit formula for the number of bacteria after n hours.

Answer 1

our explicit formula is: a = 19n + 6, we choose d

Explanation:

• Let n is the number of hours
• Let a is the number of bacteria

We need to find explicit formula for the number of bacteria after n hours by using the standard equation of a linear function.

a = mn+ b where m is the slope of the function

The formula to find the slope of the function is:

m =
`(a2 -a1)/(n2-n1) = (44-25)/(2 -1) =19`

=> the standard equation is: a = 19n +b

To find b, we substitute the value( n = 1 , a =25 ) into the above equation:

25 = 19*1 +b

<=> b = 6

So our explicit formula is: a = 19n + 6, we choose d