Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
Answer:
y=log_2 (x)
Step-by-step explanation:
We see that the graph passes though the point (2,1). So we can write:
log_a (2) = 1 => a = 2
So it's a log in base 2.
After 2 weeks Ramona will have twice as much as Claire.
work
claire 8$
8*2=16
12*2=24
Answer:
(1,-2)
Step-by-step explanation:
the middle of -1 to 3 is 1
the middle of 2 to -6 is -2
the midpoint is (1,-2)
