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Answer:
w=13 (take only the positive value)
i hope this helps
Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
- k is the constant of variation
- The constant of variation k =
The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points <em>[except point (0, 0)]</em> to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k =
→ Substitute the values of x and y in the relation above
∴ k =
∴ k = -2
The constant of variation is k = -2
We are given that cost of 10 cookies = $5.
Let us find the cost of one cookie.
Cost of one cookie = 5/10 = $0.5.
Let us assume number of cookies purchased = x cookies.
And total cost of x number of cookies = y.
Therefore,
Cost of x cookies at the rate $0.5 each cookie = 0.5x
Therefore, cost equation would be
y=0.5x.
For 0 number of cookies there would be 0 cost.
So, first coordinate would be (0,0) and we are given 10 cookies cost = $5.00.
Therefore, second coordinate would be (10,5).
Plotting (0,0) and (10,5) coordinates on the graph and jointing the points to draw a line.
The drawn line represents the proportional relationship.
