The number of newspapers sold decreases exponentially by x% each year.
Over a period of 21 years the number of newspapers sold decreases from 1763 000 to 58000.

Calculate the value of x.

Respuesta :

In the exponential decrease function, the rate of decline is approximately 17.7%

Exponential Function

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828. An exponential curve grows, or decay depends on the exponential function. Any quantity that grows or decays by a fixed per cent at regular intervals should possess either exponential growth or exponential decay.

In this problem, we can write an exponential function as

58000 = 1763000(1 + x)⁻²¹

Solving for x

x = 0.1765

Converting this into percentage;

x = 0.1765 * 100 = 17.7%

The rate is 17.7%

Learn more on exponential function here;

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