Final answer:
To solve this problem, we need to use the concept of direct variation. In direct variation, two variables are directly proportional to each other. We can write the equation for direct variation as y = kx, where k is the constant of variation.
Step-by-step explanation:
To solve this problem, we need to use the concept of direct variation. In direct variation, two variables are directly proportional to each other. This means that as one variable increases, the other variable also increases by a corresponding factor. In this case, y varies directly as x.
We can write the equation for direct variation as y = kx, where k is the constant of variation. To find the value of k, we can use the given information.
When y = 4.8 and x = 16, we can plug these values into the equation and solve for k:
4.8 = k * 16
Solving for k, we divide both sides by 16:
k = 4.8 / 16 = 0.3
Now that we have the value of k, we can use it to find x when y = 1.8. Substituting the values into the equation, we get:
1.8 = 0.3 * x
Solving for x, we divide both sides by 0.3:
x = 1.8 / 0.3 = 6