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Klio2033 [76]
2 years ago
5

What is the exponential function modeled by the following table?

Mathematics
1 answer:
Ierofanga [76]2 years ago
8 0
\bf \begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&\stackrel{3^2+1}{10}\\
3&\stackrel{3^3+1}{28}\\
4&\stackrel{3^4+1}{82}
\end{array}\implies f(x)=3^x+1
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Answer:

The constant of proportionality is option D i.e 5.

Step-by-step explanation:

Variation:

Variation problems involve fairly simple relationships or formulas, involving one variable being equal to one term. There are two types of variation i.e.

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  2. Inverse variation

Direct Variation:

Mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

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The above given example is of Direct Variation

∴ y = 5 x

∴ k = 5 = constant of proportionality.

Inverse Variation:

Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

Example yx=k

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Step-by-step explanation:

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