y varies directly with x
If x=52 when y=130, find x when y=140
i got 61
x/52 = 140/130
x= 52(140/130)
Put 52(140/130) in the google search window.
To find x when y=140, we can use the concept of direct variation. We are given that y varies directly with x, which can be expressed mathematically as y = kx, where k represents the constant of variation.
Given x=52 when y=130, we can substitute these values into the equation to find the value of k:
130 = k * 52
To solve for k, divide both sides of the equation by 52:
k = 130 / 52 = 2.5
Now that we have the value of k, we can use it to find x when y=140:
y = kx
140 = 2.5 * x
To solve for x, divide both sides of the equation by 2.5:
x = 140 / 2.5 = 56
Therefore, when y=140, the value of x is 56.
Tip: If you are unsure about the steps or need to verify your answer, you can always use the internet. To do so, you can put the expression "52(140/130)" into a search engine like Google, and it will give you the result.