F(x) = 6 • (0.4)x. then determine which answer choice matches the graph you drew. (Please help)
2 answers:
Answer:
The correct option is B.
Step-by-step explanation:
The general form of an exponential function is
.... (1)
Where, a is initial value and b is growth or decay factor.
If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.
The given function is
.... (2)
From (1) and (2) it is clear that
The value of a is 6. It means the initial value or y-intercept of the function is 6.
The value of b is 0.4, which is less than 1. It means the function is a decreasing function.
Graph B represent a decreasing function with initial value 6. Therefore the correct option is B.
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Answer:
On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).
Step-by-step explanation:
Let
x ----> the perimeter of the square
y ---> the side length of the square
Remember that
The perimeter of the square is given by the expression
where
b is the length side of the square
solve for b
That means
A ordered pair in the coordinate plane following the rule
(x,y) -----> (x,x/4)
The y-coordinate is equal to the x-coordinate divided by 4
y=x/4
therefore
On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).
Because
For the point (4,1)
substitute in the linear equation the value of x
y=4/4=1 ----> is ok
For the point (8,2)
substitute in the linear equation the value of x
y=8/4=2 ----> is ok