Inv 1 and 2 Study Guide

Name: ______Date: ______(Growing)3 Inv 1 and 2 Study Guide Part A – Review all vocabulary Linear Relationships Expanded Form Base Exponent Exponential Form Standard Form Scientific Notation Exponential Growth y-intercept y = a(bx) y = mx + b Growth Factor Exponential Relationship Part B – Reflections 1. Describe an exponential growth pattern. Include key properties such as growth factors. 2. How are exponential growth patterns similar to and different from the linear growth patterns you worked with earlier this year? 3. Explain how you can use a table, graph, and an equation to find the y-intercept and growth factor for an exponential relationship. 4. Explain how you can use the y-intercept and growth factor to write an equation for exponential growth. 5. In the equation y = a(bx), explain what the values of a and b represent in the exponential relationship. 6. How is a represented in the graph of y = a(bx)? 7. How is b represented in the graph of y = a(bx)?

Try this - On the first day of school, you notice a few patches of fungus on the leaves of the pumpkin vines in your garden. You estimate the area covered by the fungus and find that the patches cover about 4 cm2. Suppose that the leaf area covered by this kind of fungus triples every day. a. Create a table to show what will happen to the fungus on the leaves during the first week of school (Days 1 – 5). b. On the grid, graph the (day, fungus area) data from the table.

c. Write an equation for the fungus area, A, after d days. ______

d. How much area will the fungus cover after 14 days? Explain how you found your answer.

e. After how many days will the fungus cover at least 1 million cm2?