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Mice21 [21]
2 years ago
8

Write an equation to model growth or decay in the following scenario. A stock is declining at a rate of 25% of its value every 2

weeks. The stock started at $225. Let a represent the number of weeks. Let y represent the value of the stock in dollars.
​
Mathematics
1 answer:
yawa3891 [41]2 years ago
3 0

The exponential function that models this situation is:

y(t) = 225(0.75)^{\frac{t}{2}}

------------------------------------------

A decaying exponential function has the following format:

y(t) = y(0)(1 - r)^t

In which:

  • y(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem:

  • The stock started at $225, thus y(0) = 225.
  • Declines at a rate of 25% every 2 weeks, thus r = 0.25, t = \frac{t}{2}

The equation is:

y(t) = y(0)(1 - r)^t

y(t) = 225(1 - 0.25)^{\frac{t}{2}}

y(t) = 225(0.75)^{\frac{t}{2}}

A similar problem is given at brainly.com/question/24282972

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We kindly invite you to see the image attached for further details.

Step-by-step explanation:

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Where:

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y - Dependent variable, dimensionless.

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Step-by-step explanation:

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