Exponential Function Evaluating

Ava is playing a video game in which she establishes and builds up a city. The population of this city is currently 190,000 people, a number that increases by 15% every year. What will the population be in 9 years?

• 666,666

• 666,936

• 668,396 

• 668,369

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y = 720,500(1.022)^x, where x is the number of years since January 1980. If the population continues to increase, what will it be in1995?

• 11,045,265

• 5,694,677

• 998,613

• 12,235

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y = 5000(0.7)^x

• y = 30(5000)^x

• y = 5000(1.3)^x

• y = 5000x^x

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1 + .35)^x

• y = 15(1 − .35)^x

• y = 35(1.15)^x

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

• y = 8(1 + 15,000)^x

• y = 15,000(1 + .08)^x

• y = 15,000(1 − .08)^x

• y = 15,000(0.08)^x

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $361,223

• $310,500

• $150,000

• $280,500