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Starbucks has faced a growing backlash to the amount of waste created by the number of coffee cups used each year. The company set a goal to reduce the number of non-recyclable paper/plastic cups sold a day, but this goal has been difficult to meet with the growing demand for coffee. In 2011, the company sold approximately 6 billion cups a day. In 2022, the number of cups increased to 8 billion a day. What is the growth factor? Round to the nearest thousandth, a. b. What is the growth rate? c. Construct an exponential model for the average number of Starbucks coffees sold a day since 2011. Write your final answer in the form S(t) = Ca. d. In 2025, how many cups of coffee can Starbucks expect to sell everyday? Round to the nearest tenth.

Starbucks has faced a growing backlash to the amount of waste created by the number of coffee cups used each year. The company set a goal to reduce the number of non-recyclable paper/plastic cups sold a day, but this goal has been difficult to meet with the growing demand for coffee. In 2011, the company sold approximately 6 billion cups a day. In 2022, the number of cups increased to 8 billion a day. What is the growth factor? Round to the nearest thousandth, a. b. What is the growth rate? c. Construct an exponential model for the average number of Starbucks coffees sold a day since 2011. Write your final answer in the form S(t) = Ca. d. In 2025, how many cups of coffee can Starbucks expect to sell everyday? Round to the nearest tenth.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Educational Content on Starbucks Coffee Cup Waste Reduction** --- **Problem Overview:** Starbucks has faced a growing backlash due to the amount of waste created by the non-recyclable paper/plastic cups used each year. In response, the company set a goal to reduce this waste. However, achieving this goal has been challenging due to the increasing demand for coffee. **Historical Data:** - In 2011, Starbucks sold approximately 6 billion cups per day. - By 2022, this number had increased to 8 billion cups per day. **Modeling and Analysis Tasks:** a. **Growth Factor Calculation:** - Determine the growth factor and round to the nearest thousandth. b. **Growth Rate Identification:** - Identify the exact growth rate based on the growth factor calculated. c. **Exponential Model Construction:** - Construct an exponential model for the average number of Starbucks coffees sold daily since 2011. - Write the model in the form \( S(t) = Ca^t \). d. **Future Projection:** - Predict the number of coffee cups Starbucks will sell daily in 2025. - Round this prediction to the nearest tenth. **Hands-On Activity:** - Use the historical data provided to calculate and interpret the growth factor. - Construct the exponential model and use it to project future sales. This exercise will help learners understand exponential growth, model construction, and the impact of consumer habits on environmental goals.
Transcribed Image Text:**Educational Content on Starbucks Coffee Cup Waste Reduction** --- **Problem Overview:** Starbucks has faced a growing backlash due to the amount of waste created by the non-recyclable paper/plastic cups used each year. In response, the company set a goal to reduce this waste. However, achieving this goal has been challenging due to the increasing demand for coffee. **Historical Data:** - In 2011, Starbucks sold approximately 6 billion cups per day. - By 2022, this number had increased to 8 billion cups per day. **Modeling and Analysis Tasks:** a. **Growth Factor Calculation:** - Determine the growth factor and round to the nearest thousandth. b. **Growth Rate Identification:** - Identify the exact growth rate based on the growth factor calculated. c. **Exponential Model Construction:** - Construct an exponential model for the average number of Starbucks coffees sold daily since 2011. - Write the model in the form \( S(t) = Ca^t \). d. **Future Projection:** - Predict the number of coffee cups Starbucks will sell daily in 2025. - Round this prediction to the nearest tenth. **Hands-On Activity:** - Use the historical data provided to calculate and interpret the growth factor. - Construct the exponential model and use it to project future sales. This exercise will help learners understand exponential growth, model construction, and the impact of consumer habits on environmental goals.
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