Consider the following case:
Suppose a student earns $113.75 for painting and he works 13 hours, find his hourly rate.
In the above problem, to find the hourly rate, we need to divide the decimal 113.75 by 13.
The answer is:
Answer:
-11/12
Step-by-step explanation:
<h3>
The constant of proportionality is k = 5</h3>
For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.
For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.
Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.
You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.
side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.
Answer:
x=3
Step-by-step explanation:
4-2x-4=-2-4
-2x=-6
\frac{-2x}{-2}=\frac{-6}{-2}
x=3
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