y = A * bx is not an exponential equation.
Did you mean
y = A * b^x ?
confirm before I start working on it.
Find the exponential curve through (7, 10) and (9, 250). Recall that an exponential curve is one given by the equation y = A * bx (i.e. is the set of all points (x,A * bx).
3 answers
Yes that is how it is. sorry i am not good at typing them out
sub in each point
equation #1:
10 = A(b^7)
equation #2:
250 = A(b^9)
divide equation 2 by equation 1, the A's will cancel, to get
b^2 = 25
b = 5 , (or -5, but in exponentioal equations the base is considered positive)
back in #1
10 = A(5^7)
A = 10/78125
so y = (10/78125)(5^x)
check for (9,250)
LS = 250
RS = (10/78125)(5^9) = 250 , YEAHHH!
equation #1:
10 = A(b^7)
equation #2:
250 = A(b^9)
divide equation 2 by equation 1, the A's will cancel, to get
b^2 = 25
b = 5 , (or -5, but in exponentioal equations the base is considered positive)
back in #1
10 = A(5^7)
A = 10/78125
so y = (10/78125)(5^x)
check for (9,250)
LS = 250
RS = (10/78125)(5^9) = 250 , YEAHHH!
1 answer