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anonymous
 one year ago
If f is an exponential funtion with the values of f (1)=4 & f (6)=7, Find F(16)
anonymous
 one year ago
If f is an exponential funtion with the values of f (1)=4 & f (6)=7, Find F(16)

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SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1You have two points: (1,4) and (6,7) An exponential function is in the form of \(y=a(b)^x\) and with these two given points you can solve for a and b. (just plug these points in and make a system of equations to solve) \(\large\color{blue}{ \displaystyle 6=a(b)^7 }\) \(\large\color{blue}{ \displaystyle 4=a(b)^1 }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1After you find a and b, plug them into the function \(\large\color{blue}{ \displaystyle y=a(b)^x }\), and this will give you the full function.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Lastly, you need to find f(16), so plug in 16 for x into your new function (after finding a and b), and there is going to be the answer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Omg thank you so much for replying but what would be my a and b that i would have to plug in to solve

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have trouble with math allot sorry

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1You can make a substitution. Rearrange one of the equations (I would adive the second one) for a in terms of b or vice versa and substitute...

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1What do you mean to use (6, 7) ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1I saw it while you were typing, tnx for mentioning it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You know the points i was given 1,4 and 6,7 you said it would be easier to use the 2nd set of points oh ok what was rhw mistake

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\color{blue}{ \displaystyle 7=a(b)^6 }\) (the yvalue is 7 and the xvalue is 6) (the way I posted it before, it was the other way around)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1The system should be: \(\large\color{blue}{ \displaystyle 7=a(b)^6 }\) \(\large\color{blue}{ \displaystyle 4=a(b)^1 }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1do u understand the correction I made?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now that we have that whats next

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\color{blue}{ \displaystyle 7=a(b)^6 }\) \(\large\color{blue}{ \displaystyle 4=a(b)^1 }\) from the second equation, 4=ab >> 4/b=a >> 4b\(^{1}\)=a \(\large\color{blue}{ \displaystyle 7=4(b)^{1}(b)^6 }\) \(\large\color{blue}{ \displaystyle 7/4=(b)^{5} }\) \(\large\color{blue}{ \displaystyle b=\sqrt[5]{7/4} }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1and then find a, using the value of b.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Kk but i dont underatand how this will help me find f(16)

courtneygraley009
 one year ago
Best ResponseYou've already chosen the best response.0Try http://www.acalculator.com/exponentialequationscalculator.html online tool to calculate the exponential equation. This tools is free, easy to understand and gives 100% accurate result.
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