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Does each equation represent exponential decay or exponential growth?
Use the drop down to mark each choice as exponential growth, exponential decay or
neither.
They may be used more than once.
✓
<
W(x) = *
<
y = 5 (7)*
1. Exponential Growth
K = 4.2(0.28)
=
>
2. Exponential Decay
✓
f=3(4.2)*
<
3. Neither
h(x) = 3x + 1.3
<
T = 0.6(1.3)
>

Sagot :

MrRoyal

An exponential equation is represented as: [tex]\mathbf{y = ab^x}[/tex], where b represents rate

  • Exponential growth: [tex]\mathbf{y = 5(7)^x}[/tex],  [tex]\mathbf{y = 3(4.2)^x}[/tex] and [tex]\mathbf{y = 0.6(1.3)^x}[/tex]
  • Exponential decay: [tex]\mathbf{k = 4.2(0.28)^x}[/tex]
  • Neither: [tex]\mathbf{h(x) - 3x + 1.3}[/tex]

An exponential equation is said to represent growth, if the rate is greater than 1, while it represents decay if the rate is less than 1.

This means that:

[tex]\mathbf{y = 5(7)^x}[/tex],  [tex]\mathbf{y = 3(4.2)^x}[/tex] and [tex]\mathbf{y = 0.6(1.3)^x}[/tex] represent exponential growth because 5, 4.2 and 1.3 are greater than 1

Also,

[tex]\mathbf{k = 4.2(0.28)^x}[/tex] represents exponential decay because 0.28 is less than 1

While

[tex]\mathbf{h(x) - 3x + 1.3}[/tex] is not an exponential function

Read more about exponential functions at:

https://brainly.com/question/11487261

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