Given:
The exponential function is:
To find:
The percentage rate of increase or decrease.
Solution:
The general exponential function is:
...(i)
Where, a is the initial value, |r| is the growth rate in decimals if r>0 and |r| is the decay rate in decimal if r<0.
The exponential function is:
It can be written as:
...(ii)
On comparing (i) and (ii), we get
Since r is negative, therefore the given function is a decreasing or decay function.
Now,
So, the rate of decrease is 0.06. Multiply this number by 100 to get the percentage.
Therefore, the rate of decrease is 6%.
Answer:
D
Step-by-step explanation:
Evaluate both points into each equation and see which works out..
A: f(1) = 4(3)^-1 = 4/3, it's supposed to be 12, so this equation is ruled out
B: f(1) = 3(4)^-1 = 3/4, ruled out for the same reason as A
C: f(1) = 3(4)^1 = 12, this works, now check the 2nd point...
f(2) = 3(4)² = 3(16) = 48, it's supposed to be 36, so this equation is ruled out
D: f(1) = 4(3)^1 = 12, this works, now check the 2nd point..
f(2) = 4(3)² = 4(9) = 36, this is what we wanted.
We know that the interior angles of a trapezoid add up to 360 degrees.
Write out an equation to represent this situation;
108+108+2x+2x=360
216+4x=360
4x=360-216
4x=144
x=144/4
x=36
Therefore, the measure of x is 36 degrees.
Hope I helped :)
