Notes 8 3 Day 1 Modeling Exponential Functions

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Notes 8. 3 (Day 1) Modeling Exponential Functions

Notes 8. 3 (Day 1) Modeling Exponential Functions

Exponential Growth and Decay: Exponential Growth: Exponential Decay: a = initial amount r =

Exponential Growth and Decay: Exponential Growth: Exponential Decay: a = initial amount r = percent increase or decrease (change the percent to a decimal) t = number of time periods (1 + r) or (1 – r) are the growth or decay factor

One year, a clothing company had $1. 5 million in sales. In later years,

One year, a clothing company had $1. 5 million in sales. In later years, sales y (in millions of dollars) increased by about 25% each year. • Write an exponential growth model that represents the sales after t years. • Use the model to predict the sales after 8 years.

One year, a clothing company had $1. 5 million in sales. In later years,

One year, a clothing company had $1. 5 million in sales. In later years, sales y (in millions of dollars) increased by about 10% each year. • Write an exponential growth model that represents the sales after t years. • Use the model to predict the sales after 8 years.

You buy a new computer for $1500. The value y (in dollars) of the

You buy a new computer for $1500. The value y (in dollars) of the computer decreases by 40% each year. • Write an exponential decay model that represents the value of the computer. • Use the model from part (a) to estimate the value after 3 years.

You buy a new computer for $1200. The value y (in dollars) of the

You buy a new computer for $1200. The value y (in dollars) of the computer decreases by 35% each year. • Write an exponential decay model that represents the value of the computer. • Use the model from part (a) to estimate the value after 3 years.

Homework: �P 430 4 -9, 14 -32

Homework: �P 430 4 -9, 14 -32