A baseball card that was valued at $100 in 1970 has increased in value by 8% each year. Write a func

Discussion in 'Calculator Requests' started by math_celebrity, May 25, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A baseball card that was valued at $100 in 1970 has increased in value by 8% each year. Write a function to model the situation the value of the card in 2020.Let x be number of years since 1970

    The formula for accumulated value of something with a percentage growth p and years x is:
    V(x) = Initial Value * (1 + p/100)^x

    Set up our growth equation where 8% = 0.08 and V(y) for the value at time x and x = 2020 - 1970 = 50, we have:
    V(x) = 100 * (1 + 8/100)^50
    V(x) = 100 * (1.08)^50
    V(x) = 100 * 46.9016125132
    V(x) = 4690.16
     

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