The value of y varies directly with x. When y = 0.3, x = 1 . What is the value of y when x is 35?
5
Responses
The value of y when x is 35 can be found using the direct variation formula:
y = kx
where k is the constant of variation.
To find the value of k, we can use the given values when y = 0.3 and x = 1:
0.3 = k(1)
Solving for k:
k = 0.3
Now we can use the value of k to find the value of y when x is 35:
y = 0.3(35)
y = 10.5
Therefore, the value of y when x is 35 is 10.5.
To solve this problem, we need to use the concept of direct variation.
When two variables, like x and y, vary directly, it means that as one variable increases, the other variable also increases in proportion to it. Mathematically, this can be represented as y = kx, where k is the constant of variation.
Given that y = 0.3 when x = 1, we can find the value of k by substituting these values into the equation:
0.3 = k * 1
Simplifying the equation, we find that k = 0.3.
Now we can use this value of k to solve for y when x = 35:
y = k * x
y = 0.3 * 35
Calculating this expression, we find that y is equal to 10.5.
Therefore, the value of y when x is 35 is 10.5.
To find the value of y when x is 35, we can use the concept of direct variation. In direct variation, two variables are directly proportional or vary directly if they can be expressed as y = kx, where k is the constant of variation.
In this case, we are given that y varies directly with x, which means that y = kx. We can use the given information to find the value of k.
We are told that when y is 0.3, x is 1. Plugging these values into the equation, we get:
0.3 = k * 1
To solve for k, we divide both sides of the equation by 1:
k = 0.3 / 1
So we find that k is equal to 0.3.
Now that we know the value of k, we can use it to find the value of y when x is 35. Plugging the values into the equation, we get:
y = 0.3 * 35
Performing the multiplication, we find that:
y = 10.5
Therefore, when x is 35, the value of y is 10.5.