SOLUTION: Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 10)(0,10) and (2, 490)(2,490).

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 10)(0,10) and (2, 490)(2,490).      Log On


   

Question 1158364: Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 10)(0,10) and (2, 490)(2,490).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given: an exponential function in the form y=ab%5Ex
that goes through points (0, 10) and (2, 490)
y=ab%5Ex.......plug in (0, 10)
10=ab%5E0
10=a%2A1
a=10
so far
y=10b%5Ex......plug in (2, 490)
490=10b%5E2
b%5E2=490%2F10
b%5E2=49
b=sqrt%2849%29
b=7
your function is:+y=10%2A7%5Ex