Question: The equation y=76(1.013)^x represents the the population of the United States, after 1900, in millions.

What was the population in 1900, x = 0?

Answer: 76 million

Question: Using the equation y=76(1.013)^x predict the population of the U.S. in the year 2010.

Use x = 110 as this is 110 years after 1900. Round to the nearest year.

Answer: 315 million

Question: Using the equation y=76(1.013)^x the table shown represents the population of the U.S. for each of the four years following 1900.

Which year is incorrect?

Years after 1900 x 1 2 3 4

U.S. Population (millions) y 77 78 80 80

Answer: 3

Question: Let y=10,000(0.97)^x represent the buying power of $10,000, with an inflation rate of three percent per year. The table shown represents the first four years after.

Which year is incorrect?

Years later x 1 2 3 4

Purchasing Power y 9,700 9,308 9,127 8,853

Answer: 2

Question: Using the equation y=10,000(0.97)^x, predict the purchasing power of $10,000 ten years later.

Answer: $7374

Question: Does the equation represent growth or decay?

y=10,000(0.97)^x

Answer: Decay

Question: Does the following equation represent growth or decay?

y=76(1.013)^x

Answer: Growth

Question: Does the following equation represent growth or decay?

y=4^x

Answer: Growth

Question: What is the y-intercept of the equation y=76(1.013)^x?

Answer: 76

Question: The graph represents the amount of money in a savings account that began with $1000.

How much money is in the account after 15 years?

Answer: $1600