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Mathematics 7 Online
OpenStudy (blu_seaa):

The ordered pairs model an exponential function, where j is the function name and e is the input variable. {(1, 10), (2, 50), (3, 250), (4, 1250)} What is the function equation in sequence notation?

OpenStudy (3mar):

May I help?

OpenStudy (blu_seaa):

Sure.

OpenStudy (3mar):

Thank you.

OpenStudy (3mar):

what do you notice from 10 to 50 and the same thing from 50 to 250?

OpenStudy (blu_seaa):

That it's multiplied?

OpenStudy (3mar):

Yes, that is right... multiplied by how?

OpenStudy (blu_seaa):

Multiplied by five?

OpenStudy (3mar):

YES, You are Awesome! So what is the common ration of the y-coordinates?

OpenStudy (blu_seaa):

5?

OpenStudy (3mar):

so that is good! Can you now find the rule of the function now?

OpenStudy (blu_seaa):

Is it five?

OpenStudy (3mar):

Yes, 5 is the common ratio but what is the function base ?

OpenStudy (blu_seaa):

6250?

OpenStudy (blu_seaa):

@3mar

OpenStudy (3mar):

See that please https://www.desmos.com/calculator/0ze0ij9bae

OpenStudy (blu_seaa):

50 then?

OpenStudy (3mar):

You did not notice the exponential equation?

OpenStudy (blu_seaa):

No.

OpenStudy (3mar):

\[\Huge y=2(5)^x\]

OpenStudy (blu_seaa):

So it's 5?

OpenStudy (3mar):

what is 5?

OpenStudy (blu_seaa):

Is the function base 2?

OpenStudy (blu_seaa):

Or is it ten?

OpenStudy (blu_seaa):

@3mar

OpenStudy (3mar):

the base of function is 5

OpenStudy (blu_seaa):

So the answer is five, correct?

OpenStudy (3mar):

answer of what? The question is "What is the function equation in sequence notation?"

OpenStudy (blu_seaa):

Then what's the answer? You're confusing me.

OpenStudy (3mar):

the answer is \(\Huge y=2(5)^x\)

OpenStudy (blu_seaa):

Oh, okay. I'm sorry. I got confused.

OpenStudy (3mar):

still confused

OpenStudy (blu_seaa):

No, I think I got it now. Thank you.

OpenStudy (3mar):

Don't mention it! You are welcome! Any more questions?

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