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Gnesinka [82]
3 years ago
15

One side of a square is shown on the coordinate grid. What is the area of this square in square units

Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

Answer:

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These tables of values represent continuous functions. In which table do the values represent an exponential function?
vichka [17]

Answer:

The correct option is B.

Step-by-step explanation:

A function is called an exponential function if it has common ratio.

A function is called an linear function if it has common difference.

In option A.

\frac{f(2)}{f(1)}=\frac{6}{3}=2

\frac{f(3)}{f(2)}=\frac{9}{6}=\frac{3}{2}

2\neq \frac{3}{2}

Since the given table has different ratio, therefore it is not an exponential function. Option A is incorrect.

In option B.

\frac{f(2)}{f(1)}=\frac{6}{2}=3

\frac{f(3)}{f(2)}=\frac{18}{6}=3

3=3

Since the given table has common ratio, therefore it is an exponential function. Option B is correct.

In option C.

\frac{f(2)}{f(1)}=\frac{22}{10}=\frac{11}{5}

\frac{f(3)}{f(2)}=\frac{34}{22}=\frac{17}{11}

\frac{11}{5}\neq \frac{17}{11}

Since the given table has different ratio, therefore it is not an exponential function. Option C is incorrect.

In option D.

\frac{f(2)}{f(1)}=\frac{8}{7}

\frac{f(3)}{f(2)}=\frac{9}{8}

\frac{8}{7}\neq \frac{9}{8}

Since the given table has different ratio, therefore it is not an exponential function. Option D is incorrect.

3 0
3 years ago
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