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
I use a website called desmos.com when I need to graph a function. Heres a picture of what it should look like.
560 kilometers flied in each hour
Mean = total score : frequency
mean x frequency = total score
so
83 = total score : 6
83 × 6 = total score
498 = total score
so the sum of the 6 test scores is 498
To a decimal you can round it down to .5 but if its a fraction no.