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WITCHER [35]
3 years ago
13

Which set of ordered pairs could be generated by an exponential function?

Mathematics
1 answer:
olasank [31]3 years ago
6 0

Answer:

The correct option is  (1,2), (0, 1), (1, 2), (2, 4).

Step-by-step explanation:

Consider the provided ordered pairs.

The exponential function is in the form of f(x)=ab^x

Where,  a is the initial amount a\neq 0 and  b is the rate of change b>0, b\neq 1

The graph of each exponential function passes through the point (0, a),

f(0)=a\cdot b^0 = a and a\neq 0  

Therefore, Option 1 and 2 and 4 are false.

Hence, the correct option is  (1,2), (0, 1), (1, 2), (2, 4).

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95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r

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