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
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
y = 7/5x - 3
Comparing with the above formula
<h3>Slope / m = 7/5</h3><h3>c/ y intercept = - 3</h3>
Hope this helps you
Answer:
y=19
Step-by-step explanation:
2y + 2 = 180 - 120 -20
2y = 40 - 2
2y = 38
y=19
Answer:
A) x = 12
Step-by-step explanation:
4x-6 = 42
4 = 48
x = 12
7x+10 = 94
7x = 82
x = 12
Answer:
f(g(x)) = -1
Step-by-step explanation:
