The data in the table represent a direct variation.
To find the equation to model the data in the table, we can set up the proportion:
y = kx
Using the values from the table:
5 = k(1)
14 = k(3)
20 = k(4)
35 = k(7)
Solving for k in each case:
k = 5
k = 14/3 = 4.67
k = 20/4 = 5
k = 35/7 = 5
Since all the values of k are the same, we can use 5 as our constant of proportionality.
Therefore, the equation to model the data in the table is:
y = 5x
Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
x: 1, 3, 4, 7
y: 5, 14, 20, 35
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