Question

I dont understand how to do this problem: An exponential function f(x)=a*b^x passes through the points (0, 10) and (3, 80). What are the values of a and b?

Answer 1

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Answer 2

a=10, b=2

Answer 3

(0,10)
\[f(x)=ab ^{x}\]
10=a*b raised to zero
10=a (because any number or variable raised to 0 is 1)

(3,80)
\[80=10b ^{3}\]
divide both sides by 10 then you will get,
\[8=b ^{3}\]
extract the cube root of both sides.
you will get b=2.

Answer 4

gotcha!!! thank you :)

Answer 5

you are welcome.