Jonesboro High School, Jonesboro

MATH 27.9973027

Student Exploration: Exponential Growth and Decay Directions: Follow the instructions to go through the simulation. Respond to the questions and prompts in the orange boxes. Vocabulary: exponential decay, exponential growth Prior Knowledge Questions (Do these BEFORE using the Gizmo.) A pair of jeans costs $40 and the sales tax is 5%. 1. How much is the sales tax? 5% How much is the total bill? 42 2. What did you multiply together to find the sales tax? take 40 and multiply it by 0.5 % 3. What can you multiply by $40 to find the total bill, including tax? Explain. 0.05 Gizmo Warm-up In an exponential growth (or decay) function, as x increases, the y-values grow (or decrease) by a constant percent. In the Exponential Growth and Decay Gizmo, you can explore the effects of C and r in the function y = C(1 + r) t . To vary the values of C and r, drag the sliders. To enter a specific value, click on the number in the text field, type in the new value and hit Enter. 1. Use the slider to vary the value of r. A. Describe the graph when r is greater than 0. when the graph is greater than zero the asymptote will never reach -2 B. Describe the graph when r is less than 0. when the graph is less than zero the asmptopte will be negetive 2. Use the slider to vary the v