Answer:
our explicit formula is: a = 19n + 6, we choose d
Step-by-step 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 = [tex]\frac{a2 -a1}{n2-n1} = \frac{44-25}{2 -1} =19[/tex]
=> 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
