Answer: Yes, y does vary directly with x.
Constant of variation = 1/4
The function rule is y = (1/4)x
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Explanation:
Let's assume that y does vary directly with x.
If that's the case, then we have an equation in the form y = kx, where k is the constant of variation.
Solving for k gets us k = y/x
For each row, divide the y value over the x value
- row one: k = y/x = 14/56 = 0.25
- row two: k = y/x = 20/80 = 0.25
- row three: k = y/x = 22/88 = 0.25
Each row yields the value k = 0.25 and it fully confirms y does vary directly with x.
So y = kx becomes y = 0.25x as the function rule, which is equivalent to y = (1/4)x
Answer:
Correct answer is third from the top an = 27 · (1/3)∧(n-1)
Step-by-step explanation:
Given geometric sequence : 27, 9, 3, 1,....
First term a1= 27, second term a2= 9, third term a3= 3 etc...
Standard form of the n-th term is
an = a1 · q∧(n-1)
We will find quotient when we divide second term with first and third with second
q = a2/a1 = a3/a2 = 9/27 = 3/9 = 1/3
Formula fot n-th term is
an = 27 · (1/3)∧(n-1)
God with you!!!
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