Question

find q(t)=ab^t, if q(5)=5 and q(7)=45

Answer 1

first plug t = 5 and get
5 = a * b^5
the plug t = 7 and get
45 = a * b^7
can you do it by yourself now ?

Answer 2

here is a hint, what is
\[\frac{ab^7}{ab^5}\] ?

Answer 3

i did plug in those numbers, but i still cant know how to go further, i still need some assistance

Answer 4

7/5?

Answer 5

45 = a * b^7
5 = a * b^5
divide the first be the second
what do you get ?

Answer 6

\[\frac{ab^7}{ab^5}=b^2\] is one answer

Answer 7

9= b^2

Answer 8

very good now take the square root of it

Answer 9

the other answer is \(\frac{45}{5}=9\) which tells you that \(b^2=9\) so you can find \(b\)
once you have \(b\) substitute back to find \(a\)

Answer 10

thanks guys, really appreciate the assistance