If y varies directly with x and y = 3 when x = 12, then what is the value of y when x = 40?
Question 1 options:
10
480
4
160
To find the value of y when x = 40, we can use the formula for direct variation:
y = kx
To solve for k, we can use the given information that y = 3 when x = 12:
3 = k(12)
Dividing both sides by 12, we get:
k = 3/12
Simplifying, we get:
k = 1/4
Now we can substitute this value of k into the equation to find y when x = 40:
y = (1/4)(40)
Multiplying, we get:
y = 10
Therefore, the value of y when x = 40 is 10.