Question

Given that y varies directly with x in the table below, what is the value of y if the value of x is 7?

х
2
4
6
10
60
y
12.
24
36
V
37
42
0 0 0 0
48
54

Answer 1

42

Explanation:

just took the quiz and got it right

Answer 2

y = 42

Explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use an ordered pair from the table.

Using x = 2 when y = 12, then

12 = 2k ( divide both sides by 2 )

6 = k

y = 6x ← equation of variation

When x = 7, then

y = 6 × 7 = 42