3) An air conditioner has a marked price of $350. It is placed on sale at 12% off. What are the
1 answer:
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Answer: Third option.
Step-by-step explanation:
By definition, Exponential functions have the following form:
Where "b" is the base ( and
), "a" is a coefficient (
) and "x" is the exponent.
It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.
Then, for an input value 0 () the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 (
).
You can observe in the Third option shown in the image that when ,
Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.
We have 
Plug in
:
⇒
So we now have
Plug in
:
⇒
⇒![b=\sqrt[3]{\frac{95}{4}}](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B95%7D%7B4%7D%7D)
which is approximately 2.874
So we get
![y=4(\sqrt[3]{\frac{95}{4}})^{x}](https://tex.z-dn.net/?f=y%3D4%28%5Csqrt%5B3%5D%7B%5Cfrac%7B95%7D%7B4%7D%7D%29%5E%7Bx%7D)
or, in decimal form,
Plug in
So we now have
Plug in
⇒
⇒
which is approximately 2.874
So we get
or, in decimal form,