The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70?
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The answer is 1/4 because 35/140 is equal to 1/4, so if it's directly proportional, you must multiply 75 by the quantity to get the y value.
To determine the value of y when x = 70, we need to use the direct proportion relationship.
First, we can set up a proportion using the given information:
y / x = 35 / 140
Now, we can solve for y by substituting the values into the proportion:
y / 70 = 35 / 140
Next, we can simplify the proportion by dividing both sides by 70:
y / 70 = 1/4
To isolate y, we can multiply both sides of the equation by 70:
y = (1/4) * 70
Finally, we can simplify the expression to find the value of y:
y = 17.5
Therefore, when x = 70, the value of y is 17.5.
To solve this problem, we need to find the constant of proportionality (k) and then use it to determine the value of y when x = 70.
Since y and x are directly proportional, it means that they have a constant ratio. We can represent this relationship using the equation y = kx, where k is the constant of proportionality.
To find the value of k, we can use the given information:
When x = 140, y = 35.
So, we can substitute these values into the equation: 35 = k * 140.
To find k, we need to isolate it. Dividing both sides of the equation by 140 gives us: (35/140) = k.
Simplifying the division, we have: 0.25 = k.
Now that we know the value of k, we can find the value of y when x = 70 by substituting these values into the equation y = kx:
y = 0.25 * 70.
Calculating this, we find that y = 17.5.
Therefore, the value of y when x = 70 is 17.5.
No bubble document.
35/140 = y/70
Solve for y.