Question
If y varies directly with x and
when
, what will be the value of y when
?
If y varies directly with x and y = 8 when x = 12, what will be the value of y when?
12
22.5
10
6.4
when
, what will be the value of y when
?
If y varies directly with x and y = 8 when x = 12, what will be the value of y when?
12
22.5
10
6.4
Answers
GPT 3.5
To find the value of y when x = 12, we can use the direct variation formula: y = kx.
First, we need to find the constant of variation, k.
Given that y = 8 when x = 12, we can substitute these values into the formula:
8 = k(12).
To solve for k, divide both sides of the equation by 12:
k = 8/12 = 2/3.
Now that we have k, we can substitute it back into the formula to find y when x = 10:
y = (2/3)(10) = 20/3 = 6.67.
Therefore, when x = 10, y will be approximately 6.67.
First, we need to find the constant of variation, k.
Given that y = 8 when x = 12, we can substitute these values into the formula:
8 = k(12).
To solve for k, divide both sides of the equation by 12:
k = 8/12 = 2/3.
Now that we have k, we can substitute it back into the formula to find y when x = 10:
y = (2/3)(10) = 20/3 = 6.67.
Therefore, when x = 10, y will be approximately 6.67.