Learning Target: I can describe a pattern of an exponential function and construct a table, graph, and equation.
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.
To earn Mastery on this quiz, you must have a proficient score on questions 1 through 3, and answer questions 4 and 5 accurately.
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.
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.
Write the following in expanded form.
Write the following in standard form.
Write the following in exponential form.
To earn Mastery on this quiz, you must have a proficient score on questions 6 through 8 and answer question 9 and 10 accurately.
Write the expanded form of 32. Show or explain how your found your answer in the Show your Work Box.
Write the exponential form of 6561. Show or explain how you found your work in the Show Your Work Box.
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.
Complete the table below.
Using your table, what is the Area of the Fungus on Day 1?
Using your table, what is the Area of the Fungus on Day 2?
Using your table, what is the Area of the Fungus on Day 3?
Using your table, what is the Area of the Fungus on Day 4?
Using your table, what is the Area of the Fungus on Day 5?
Create a graph using the table from Question 1.
Write an equation using the information from Question 1 and 2.
Write an equation for the fungus area A after d days.
