Exponential Growth Models

 $P=\left(1.56\right)^x$  displays a

• 156% increase

• 56% increase

• 44% increase

 $P=\left(0.76\right)^x$  displays a 

• 76% increase

• 76% decrease

• 24% decrease

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

• 1,188,311 people

• 22,972 people

• 1,169,030 people

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?

• y = 30,010 (.05)^x

• y = 30,010 (.95)^x

• y = 30,010 (1.05)^x

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

• 4%

• 104%

• 140%

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1400(1.09)^x

 $A=4500\left(1.76\right)^2$  
What is the rate of growth?

• 2%

• 24%

• 76%

The 1985 population estimate for India was 762 million, and the population has been growing continuously at a rate of about 2.2% per year. Assuming that this rapid growth rate continues, estimate the population of India in the year 2018.

• about 975 million

• about 1.6 billion

• about 2 billion

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

• y=5000(1 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327
• 4309
• 839
• 7680