5. Constructed Response Topic 15

Constructed Response
Page 6 & 7

Constructed Response 1
Page 6

Use the two functions to create two graphs on the same coordinate plane. Use two different colors to show that there are two graphs.

Page 6a

Look at both graphs and come up with two similarities and two differences. Use words like: domain, range, asymptote, increase/decrease, positive or negative x and y values.

Page 6b

Multiple Select

Page 6c

Discuss the range of this problem situation.

• Range of Function:

  All real numbers

• Range of Problem Situation:

  $$x>1$$ because you cannot have a negative or 0 amount of insecticide

• Range of Problem Situation:

  All real numbers because it is the same as the function

• Range of Problem Situation:

  $$x>0$$ because you cannot have a negative amount of insecticide

• Range of Function

  $$x>0$$

Fill in the Blanks

Page 6d

Analytically determine the solution to and explain what the solution represents.

x=

Dropdown

Page 6d Second Box



The amount of insecticide was ​

Select answer

after ​

Select answer

hours

Constructed Response 2
Page 7

Match

Page 7a

Look at the constructed response paper

Write an equation for each of the three options. Make sure the define your variables.

• Option 1: Put the $1000 in a non-interest bearing account but deposit a minimum of $10 a month.

• Option 2: Deposit the money in an account that earns 10% interest compounded annually.

• Option 3: Deposit the money in an account with a rate of 9% but whose interest is compounded bi-annually (twice a year).

• $$y=1000+10\left(12x\right)$$

• $$y=1000\left(1+0.10\right)^x$$

• $$y=1000\left(1+\frac{0.09}{2}\right)^{2x}$$

Match

Page 7b

Rachel needs $4000 for college. Determine how many years it will take each option to grow enough to cover the cost of Rachel's tuition. Use any strategy.

• Option 1

• Option 2

• Option 3

25 years

14.54 years

15.74 years

• 25 years

• 14.54 years

• 15.74 years

Fill in _____ on the line. Then solve using Desmos (a graph, table, or analytic strategy)

​

Page 7b

Go to Desmos. Graph each function. Look for the intersection point to solve this (there will be two points).

To find the points you will need to change your window or zoom way out. Ask how to do this.

Page 6c