BentonQ183802 BentonQ183802
  • 28-10-2022
  • Mathematics
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For y = 10*0.5^x , doesthis model exponential growth or decay? Explain how you know.

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DmauriN504253 DmauriN504253
  • 28-10-2022

Answer:

Exponential decay

Explanation:

The exponential functions have the following form:

[tex]y=a\cdot b^x[/tex]

If b is a number greater than 1, the equation models exponential growth, and if b is lower than 1, the equation models an exponential decay.

Since the equation is:

[tex]y=10\cdot0.5^x[/tex]

We can say that the value of b is 0.5. 0.5 is lower than 1, so this equation models exponential decay.

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