Exponential Growth and Decay Problems

Your TikTok dance video is going viral! After 2 hours, you had 400 views, and by 6 hours, you hit 6400 views. If this exponential trend continues, it will take _____ hours to reach 100000 views.

Your favorite mobile game's player base started with 2500 players. By week four, it reached 20000 players. Using an exponential model, when will the game reach 160000 players? Label your answer

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Your YouTube gaming channel is growing fast! In January, you had 500 subscribers, and by March, you reached 2000 subscribers. Assuming exponential growth, how many months will it take to have 128,000 subscribers? Label your answer

A cryptocurrency's value increases by 80% each week. If you invest $200, it will take _____ weeks to reach $4000. Round to one decimal and label your answer

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The number of subscribers to a streaming service grows by 60% monthly. If they start with 1000 subscribers, it will take _____ months until they exceed 10,000 subscribers. Round to one decimal place and label your answer

In a popular mobile game, your character's power grows exponentially, doubling every level. If you start at power level 5 and need 1280 power to defeat a boss, you must reach level _____ to defeat the boss.

A new gaming console's price depreciates by half every 2 years. If the initial price was $800, it will take _____ years for the price to drop below $100.

A viral TikTok video gains viewers exponentially. Starting with 100 views, it doubles every 3 hours. After _____ hours will the video reach 25,600 views?

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Jaclyn is a scientist that is looking to see how fast mold grows on Panda Orange Chicken. This exponential growth function of the mold is defined by h(t)=8e^(.75t), with t being weeks. When will it have 350 bacteria on it? Use logs. Label and round to two decimal points

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Jaclyn is a scientist that is looking to see how fast mold grows on Panda Express Orange Chicken. This exponential growth function of the mold is defined by h(t)=8e^(.75t) with h(t) being mold and t being time. The value of h(4) is _____ . Label your answer and round to the nearest whole number.