Question
Suppose y varies directly with x, and y = 24 when x = 8. What is the value of y when x = 10?
(1 point)
Responses
10
10
30
30
80
80
240
240
(1 point)
Responses
10
10
30
30
80
80
240
240
Answers
GPT 3.5
Using the direct variation formula, we can write the equation as:
y = kx
where k is the constant of variation.
To find the value of k, we can substitute the given values:
24 = k * 8
Solving for k, we get:
k = 24/8 = 3
Now, we can use the value of k to find the value of y when x = 10:
y = 3 * 10 = 30
Therefore, the value of y when x = 10 is 30.
y = kx
where k is the constant of variation.
To find the value of k, we can substitute the given values:
24 = k * 8
Solving for k, we get:
k = 24/8 = 3
Now, we can use the value of k to find the value of y when x = 10:
y = 3 * 10 = 30
Therefore, the value of y when x = 10 is 30.