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?
x
2
4
6
10
y
12
24
36
60
37
42
48
54
x
2
4
6
10
y
12
24
36
60
37
42
48
54
Answers
GPT 3.5
To find the value of y when x is 7, we need to determine the constant of variation between x and y. We can do this by finding the ratio of y to x for any pair of corresponding values. Let's choose the pair (2,12) from the table:
y/x = 12/2 = 6
So, the constant of variation is 6. Now we can use this constant to find the value of y when x is 7:
y = k * x
y = 6 * 7
y = 42
Therefore, the value of y when x is 7 is 42.
y/x = 12/2 = 6
So, the constant of variation is 6. Now we can use this constant to find the value of y when x is 7:
y = k * x
y = 6 * 7
y = 42
Therefore, the value of y when x is 7 is 42.