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Write exponential functions

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    Write exponential function that models a given scenario
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  • A population of rabbits is initially 120 and doubles every 3 years. Which function models the population after t years?
    P(t) = 120 × 2^(t/3)
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  • A car worth $25,000 depreciates by 10% each year. Which function represents its value V(t) after t years?
    V(t) = 25,000 × (0.9)^t
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  • A savings account has an initial deposit of $1,500 and earns 6% interest compounded annually. Which function represents the amount after t years?
    A(t) = 1,500 × (1.06)^t
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  • A scientist observes 600 bacteria that triple every 4 hours. Which model describes the growth?
    B(t) = 600 × 3^(t/4)
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  • The value of a vintage comic book decreases by 15% per year. If it was worth $1,200 initially, which equation shows the value after t years?
    V(t) = 1,200 × (0.85)^t
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  • You invest $2,000 in a bond that grows 3% annually, compounded yearly. What function models your investment?
    A(t) = 2,000 × (1.03)^t
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  • A city has a population of 90,000 that is increasing by 4% annually. What function represents this?
    P(t) = 90,000 × (1.04)^t
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  • A medication's effectiveness decreases by 20% each hour. It starts at 100mg. What model shows remaining mg after t hours?
    M(t) = 100 × (0.80)^t
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  • A website has 800 users and user base doubles every 6 months. Which equation models this growth?
    U(t) = 800 × 2^2t
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  • A phone loses 25% of its battery each hour. Starting at 100%, which function models the battery life?
    B(t) = 100 × (0.75)^t
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  • A radioactive substance has 120 grams and decays by 8% each hour. Which model represents its decay?
    M(t) = 120 × (0.92)^t
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  • You invest $800 at 4% annual compound interest. What equation gives amount after t years?
    A(t) = 800 × (1.04)^t
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  • A car’s value is $18,000 and drops 12% each year. What model represents its value after t years?
    V(t) = 18,000 × (0.88)^t
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  • A savings account starts with $500 and earns 5% annual interest compounded yearly. What model represents its value after t years?
    A(t) = 500 × (1.05)^t
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  • A bike loses 10% of its value each month. Its current price is $1,000. What model shows its price after t months?
    V(t) = 1,000 × (0.9)^t
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  • A youtube channel has 200 subscribers and doubles every 12 months. Which model shows subscriber growth after t years?
    S(t) = 200 × 2^t
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