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1 answer:
Answer:
<em>D. y = -6x + 38</em>
Step-by-step explanation:
<u>Equation of a sequence</u>
We are given the following sequence of numbers corresponding to the positions x={1,2,3,4,5,...}
y={32,26,20,14,8....}
To find the equation of the sequence, we must recall the general term of a sequence is:
Where r is the common difference between two consecutive terms, an and a1 are the x-th and the first terms respectively.
We can find the value of r by subtracting any pair of consecutive terms:
r = 26-32 = 20-26 = 14-20 = -6
Now we apply the formula:
y=32+(x-1).(-6)
Operating:
y=32-6x+6
y = -6x + 38
Answer:
D. y = -6x + 38
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Answer:
The relationship between flying time in seconds in the number of times the insect beats its wings:
- y = 120x
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
- b is the y-intercept
In our case,
Let 'x' be the flying time in seconds
Ley 'y' be the number of times the insect beats its wings
Given that a certain insect can beat its wings 120 times per second.
It indicates that the rate of change or slope = m = 120
In our case the y-intercept b = 0, as there is no initial condition mentioned here.
Now, substituting m = 120 and b = 0 in the slope-intercept form
y = mx+b
y = 120x+0
y = 120x
Therefore, the relationship between flying time in seconds in the number of times the insect beats its wings:
- y = 120x