WGU C285TASK 1 MATH HISTORY|LATEST UPDATE WITH COMPLETE SOLUTIONS
ASSUMPTIONS
The number N of bacteria in a culture at time d, where d is measured in days, is modeled with the
following function:
12250d2−2419d+1237572+1000
N=
5d2 − 37d + 99
A. Use technology to analyze the modeling function in the problem in the Assumptions section by
doing the following:
1. Using a calculator, determine the number of bacteria when d = 10.
N(10) 12250• 102− 2419• 10 + 1237572 + 1000
= 5•102 − 37•10 + 99
2
=10652.3231441
2. Use a graphing utility to do the following:
a. Provide a single image of the graph that displays both the curved nature and the maximum
value of the function.
ASSUMPTIONS
The number N of bacteria in a culture at time d, where d is measured in days, is modeled with the
following function:
12250d2−2419d+1237572+1000
N=
5d2 − 37d + 99
A. Use technology to analyze the modeling function in the problem in the Assumptions section by
doing the following:
1. Using a calculator, determine the number of bacteria when d = 10.
N(10) 12250• 102− 2419• 10 + 1237572 + 1000
= 5•102 − 37•10 + 99
2
=10652.3231441
2. Use a graphing utility to do the following:
a. Provide a single image of the graph that displays both the curved nature and the maximum
value of the function.
