Directions: Read each question carefully. Make sure you answer all parts of the question
Learning Target: I can describe a pattern of an exponential function and construct a table, graph, and equation.
On the last day in August (31st), you notice a few patches of fungus on the leaves of the pumpkin vines in your garden. The area of the fungus is 1 cm squared. Suppose that the area covered by this fungus quadruples every day, and on September 1, the area covered by the fungus is now 4 cm squared.
Required
10 points
10
Question 1
1.
Complete the table below.
Required
10 points
10
Question 2
2.
Using your table, what is the Area of the Fungus on Day 1?
Required
10 points
10
Question 3
3.
Using your table, what is the Area of the Fungus on Day 2?
Required
10 points
10
Question 4
4.
Using your table, what is the Area of the Fungus on Day 3?
Required
10 points
10
Question 5
5.
Using your table, what is the Area of the Fungus on Day 4?
Required
10 points
10
Question 6
6.
Using your table, what is the Area of the Fungus on Day 5?
Required
10 points
10
Question 7
7.
Create a graph using the table from Question 1.
Required
10 points
10
Question 8
8.
Write an equation using the information from Question 1 and 2.
Write an equation for the fungus area A after d days.
Mastery Level
To earn Mastery on this quiz, you must have a proficient score on questions 1 through 3, and answer questions 4 and 5 accurately.
10 points
10
Question 9
9.
On the last day in August (31st), you notice a few patches of fungus on the leaves of the pumpkin vines in your garden. The area of the fungus is 1 cm squared. Suppose that the area covered by this fungus quadruples every day, and on September 1, the area covered by the fungus is now 4 cm squared.
After how many days will the fungus cover at least 1,000,000 cm^2? Show or explain how you found your answer in the Show Your Work box.
10 points
10
Question 10
10.
Given the table, write an exponential equation.
Learning Target: I can demonstrate my understanding of the difference between exponential form, expanded form and standard form.
10 points
10
Question 11
11.
Write the following in expanded form.
10 points
10
Question 12
12.
Write the following in standard form.
10 points
10
Question 13
13.
Write the following in exponential form.
Mastery Level
To earn Mastery on this quiz, you must have a proficient score on questions 6 through 8 and answer question 9 and 10 accurately.
10 points
10
Question 14
14.
Write the expanded form of 32. Show or explain how your found your answer in the Show your Work Box.
10 points
10
Question 15
15.
Write the exponential form of 6561. Show or explain how you found your work in the Show Your Work Box.