Exponential Functions Word Problems #3

Master exponential functions with real-world word problems!

The initial population of ladybugs in the local community park was 12 when it was first observed 5 months ago. It is hypothesized that the population will double each month. What is the current population of ladybugs? 120 384 7,962,624 3600 Timothy and Liam had SuperWings balloons at their birthday party. The balloons were filled with 34 grams of helium gas, but it is expected that the balloons will lost 9% of the gas keeping them afloat each day. Write an exponential function relating the helium gas in the balloons to the days since the balloon was initially inflated. f(x) = 34(0.09)^x f(x) = 34(1.09)^x f(x) = 34(0.91)^x f(x) = 34(9)^x Based on the situation above, how many grams of helium gas will be in the balloon 3 weeks after it was inflated? 4.7 grams 25.6 grams 19.11 grams 0.003 grams Charlie deposits $1,500 into a savings account with 5.3% interest that compounds annually. Write an exponential function relating the money into the account to the years since the account was open. f(x) = 1,500(5.3)^x f(x) = 1,500(0.053)^x f(x) = 1,500(0.947)^x f(x) = 1,500(1.053)^x Based on the information above, how much money will Charlie have in his account in 10 years? $15,795 $2,514 $79,500 $4,260 Based on the information above, how many years until Charlie triples his initial investment? 15 years 18 years 22 years 12 years A car purchased for $15,600 will depreciate in value by 12% each year since it was purchased in 2019. Write an exponential function relating the value of the car to the years since it was purchased. f(x) = 15,600(0.88)^x f(x) = 15,600(0.12)^x f(x) = 15,600(1.12)^x f(x) = 15,600(12)^x Based on the information above, what will be the value of the car in 2025 when her car loan is paid off? $10,240.56 $0 because the car was paid off $3,158.32 $7,244.70 A maple tree will grow by 20% each year since it was planted. In 1995, a new 6 ft tall maple tree was planted near the neighborhood playground. Write an exponential function relating the height of the maple tree to the years since it was planted. f(x) = 6(0.2)^x f(x) = 9(0.2)^x f(x) = 6(1.2)^x f(x) = 6(2)^x Based on the information above, what is the height of the maple tree this year? 4,253 feet 312 feet 687 feet 432 feet