I can create a new function by adding, subtracting, multiplying, or dividing two existing functions.
I can create a new function by adding, subtracting, multiplying, or dividing two existing functions.
2 points
2
Question 1
1.
Let
and
Find
2 points
2
Question 2
2.
Let
and
Find
2 points
2
Question 3
3.
Let
and
Find
2 points
2
Question 4
4.
Let
and
Find
2 points
2
Question 5
5.
Sri turns on the bathtub spout to warm up the water already in the tub. The amount of water (in gallons) in the tub x minutes after turning on the spout if no other water leaves or enters is modeled by f(x) = 2.4x + 15. When Sri turns on the spout, however, he accidentally opens the drain, which drains 3.1 gallons per minute from the tub. Use a function operation to write a model for the amount of water in the tub x minutes after the spout is turned on and the drain is opened.
2 points
2
Question 6
6.
If Sri leaves when he turns on the water and returns 10 minutes later, how much water is in the tub?
3 points
3
Question 7
7.
The function model p(x) = 5 + 2x represents the number of employees p of a small company where x is the number of years after 2018. The average employee salary s in thousands of dollars for this period can be modeled by s(x) = 1.05 x + 46. Use a function operation to write a model for the total salary T for the staff at the company after x years.
2 points
2
Question 8
8.
If these models hold until 2030, what is the approximate total staff salary in 2030?