Fitting Exponential Functions to Data

What function model best represents the data in the table?

• linear

• exponential

• quadratic

What function best models the data in the table?

• linear

• exponential

• quadratic

Is this table linear, quadratic, exponential, or none of the above?

• linear
• quadratic
• exponential
• none of the above

Is this exponential growth or decay?

• Growth
• Decay

The population of a country is 50 millions of inhabitants. If it grows exponentially in a rate of 2% per year, calculate the estimated population in 15 years

• 1.02 million people

• 6 million people

• 4.11 million people

• 67.3 million people

Your starting salary at a new company is $34,000 and it increases by 2.5% each year. Which model represents what will your salary be in 5 years?

• y = 34000(1.025)⁵

• y = 5(1.025)³⁴⁰⁰⁰

• y = 34000(1.25)⁵

• y = 34000(2.5)⁵

In 2010 an item costed $9.00. The price of the item increased by 1.5% each year. Which model shows how much will that same item cost in 2030?

• y = 9(1.5)²⁰

• y = 9(1.15)²⁰

• y = 9(1.015)²⁰

• y = 20(9)^1.5

A piece of land was purchased for $65,000. The value of the land has been increasing by 1% annually. Which model predicts how much the land will be worth in 20 years?

• y = 65000(1.01)²⁰

• y = 650000(1.1)²⁰

• y = 650000(11)²⁰

• y = 1.01(650000)²⁰

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• ^.08
• ^1.08
• .92
• 8

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay