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What is the direct variation equation for the table of ordered pairs?

X Y
20 24
30 36
40 48

User Narea
by
5.8k points

2 Answers

0 votes

Answer:

y = 1.2x

Step-by-step explanation:

User Boro
by
5.2k points
3 votes
Answer:
y = 0.8 x

Step-by-step explanation:
We are given that y is directly proportional to x. This means that as the value of x increases, the value of y would increase and vice versa.

The general equation representing this is:
y = k*x where k is the constant of proportionality

To get k, we will use the given x and y values as follows:
y = k*x
at x = 60 and y = 48:48 = 60*k
k = 0.8
at x = 70 and y = 56:
56 = 70*k
k = 0.8
at x = 80 and y = 64:
64 = 80*k
k = 0.8

From the above, we can confirm that the constant of proportionality (k) is equal to 0.8.
This means that the equation is:
y = 0.8*x

Hope this helps :)
User Charlin Agramonte
by
5.6k points