travis.thompson
travis.thompson 4d ago • 0 views

Test Questions on Solving Exponential Growth Applications (High School Algebra).

Hey there! 👋🏽 Exponential growth can seem tricky, but with a little practice, you'll be solving these problems in no time. Let's review the key concepts and then test your knowledge with a quick quiz! 🤓
🧮 Mathematics
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santos.matthew10 Jan 3, 2026

📚 Quick Study Guide

  • 📈 Exponential Growth: Occurs when a quantity increases by the same percentage over a given period.
  • 📝 General Formula: $y = a(1 + r)^t$, where:
    • $y$ = final amount
    • $a$ = initial amount
    • $r$ = growth rate (as a decimal)
    • $t$ = time
  • 💡 Growth Rate: If the rate is given as a percentage, divide by 100 to convert it to a decimal (e.g., 5% = 0.05).
  • 📅 Time Unit: Make sure the time unit for the rate and the time variable are the same (e.g., if the rate is per year, time should be in years).
  • 🧮 Solving Problems: Identify the initial amount, growth rate, and time, then plug them into the formula and solve for the unknown.

🧪 Practice Quiz

  1. A population of bacteria doubles every hour. If the initial population is 500, what will the population be after 4 hours?
    1. 1,000
    2. 4,000
    3. 8,000
    4. 16,000
  2. The number of students at a school is increasing by 8% per year. If there are currently 1200 students, how many students will there be in 5 years?
    1. 1680
    2. 1763
    3. 1700
    4. 1740
  3. An investment of $5,000 grows at an annual rate of 6%. Approximately, how much will the investment be worth after 10 years?
    1. $8,954
    2. $8,000
    3. $9,500
    4. $8,500
  4. A rare species of frog is increasing in population at a rate of 12% per year. If there are currently 200 frogs, how many frogs will there be in 3 years?
    1. 281
    2. 300
    3. 250
    4. 320
  5. The value of a house increases by 3% each year. If the house is currently worth $250,000, what will its value be in 7 years?
    1. $300,000
    2. $307,371
    3. $290,000
    4. $310,000
  6. A mold culture doubles in size every day. If it starts with an area of 2 $mm^2$, what area will it cover after 6 days?
    1. 64 $mm^2$
    2. 128 $mm^2$
    3. 32 $mm^2$
    4. 256 $mm^2$
  7. The number of views on a video is increasing by 15% each day. If the video initially had 500 views, how many views will it have after 5 days?
    1. 900
    2. 1006
    3. 1100
    4. 1050
Click to see Answers
  1. C
  2. B
  3. A
  4. A
  5. B
  6. B
  7. B

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