Answer:
A)
Decay
B)
Initial value is 5.
C)
The decay factor is 0.75.
D)
75%
Step-by-step explanation:
An exponential function is given by:
Where a is the initial value and r is the rate.
We have the function:
So, a = 5 and r = 1/4.
A)
Remember the guidelines:
- It is exponential growth if r > 1.
- And it is exponential decay if r < 1. (And r must be positive.)
Our rate is 1/4 or 0.25.
It is less than 1, so our function is exponential decay.
B)
The initial value is the value in front of our rate.
So, our initial value in this case is 5.
C)
The decay factor will be 1 - r, where r is our rate.
Since our rate is 0.25, our decay factor is 1 - 0.25 = 0.75.
So, we are decaying by a factor of 0.75.
D)
To convert a decimal to a percent, we move the decimal dot two places to the rght and add a percent sign.
So, 0.75 will be 75.0 % or smply 75%.
It is a 75% decay.
Subtracting 10x from the given equation gives
120 = 15x
Then dividing by 15 gives
8 = x
Zorah will have to play 8 hours in order to break even (cover her expenses exactly).
The answer is acute. Acute angle is any angle less than 90 degrees. There is no such thing as a 0 degree angle. But there is 180 which is a straight line. Any angle more than 90 degrees is obtuse
Answer:
1st 2nd and 3rd box
Step-by-step explanation:
1. It does not form a straight line because the output is not proportional. (it does not follow a pattern)
2. the line is not proportional because it does not follow a pattern or ratio of any kind (2468 is proportional because it follows the pattern of 2)
3. the origin is the coordinates (0,0) and the table has that labeled in the diagram therefore the graph does go through the origin
4. the output is not constant (output is 0149) because it does not show any sort of pattern. therefore the 4th box is incorrect.