///Exponential Functions
Exponential Functions2018-12-08T07:04:24+00:00

Maths Made Easy Forums Standard Non-Linear Relationships Exponential Functions

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    The population of a town can be found by the formula P = 3200e-0.02t, where t represents the number of years elapsed since 1980. What is the annual rate of decrease of the towns population during the decade 1980 – 1989?
    P = 3200e-0.02 x 0 = 3200e0 = 3200 × 1 = 3200 in 1980, t = 0 because it is the beginning of the time period substitute t = 0 into the equation the “e” button can be found on your calculator above the ln button. to use it, press shift ln and you should see e and you put the 0 in the square
    P = 3200e-0.02 x 10 = 3200e-0.2 = 2619.938 in 1989, t = 10 substitute t = 10 into the equation
    200 – 2619.938 = 580.06 find the decrease
    580.06 ÷ 10 = 58 ∴ decreasing by 58 per year to find the average over 10 years, divide the decrease by 10

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