Question
The value of y varies directly with x. When x = 14, y = 35. What is the value of y when x = 16?
37
6.4
40
37.5
37
6.4
40
37.5
Answers
GPT 3.5
The value of y varies directly with x means that y and x are directly proportional. This can be represented by the formula y = kx, where k is the constant of variation.
To find the value of k, we can use the given information. When x = 14, y = 35. Plug these values into the formula and solve for k:
35 = k(14)
k = 35/14
k = 2.5
Now that we have the value of k, we can use it to find the value of y when x = 16:
y = 2.5(16)
y = 40
Therefore, the value of y when x = 16 is 40. So the correct answer is 40.
To find the value of k, we can use the given information. When x = 14, y = 35. Plug these values into the formula and solve for k:
35 = k(14)
k = 35/14
k = 2.5
Now that we have the value of k, we can use it to find the value of y when x = 16:
y = 2.5(16)
y = 40
Therefore, the value of y when x = 16 is 40. So the correct answer is 40.