Exponential Word Problems Practice

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

• 0 people
• It doesn't say
• I don't know
• 6191

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%
• It doesn't say
• I don't know
• 400%

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=1400(1+.09)^x

• y=1.09(1400)^x

• y=1400(1-.09)^x

• y=1.09^x

Does the following equation show growth or decay?

y=10,000(1.26)^x

• Growth

• Decay

Does the following equation show growth or decay?

y=10,000(0.76)^x

• Growth

• Decay

Does the following equation show growth or decay?

y=10,000(1-.05)^x

• Growth

• Decay

Does the following equation show growth or decay?

y=10,000(1+.05)^x

• Growth

• Decay

The population of Boringtown decreased annually by 1.8% between the year 2015-2018. In 2015, there were approximately 200,000 people living in Boringtown. Which function models the city's population since 2015?

• y = 200,000(1 + 0.018)^x

• y = 200,000(1 - 0.18)^x

• y = 200,000(1 + 0.18)^x

• y = 200,000(1 - 0.018)^x

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. You want to know the value of your boat in 3 years. What is the equation that models this problem?

• y = 7650(1 + 0.14)³

• y = 7650(1 - 0.14)³

• y = 7650e^(0.14)(3)

• y = 7650 (1 + 0.14/12)^(12)(3)

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