The area of a circle, A , is directly proportional to the square of its radius, r . Write down a formula, using k , connecting the area of the circle and the length of its radius.
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Answer:The variable y is said to be directly proportional to x if
y = kx for some non-zero constant k.
The constant k is called the constant of proportionality.
The statement, ‘y is directly proportional to x’, is written symbolically as
y proportion x.
Sometimes in the literature the word variation is used instead of proportion.
The graph of y = kx is a straight line passing through the origin. Its gradient k is the constant of proportionality. (The values that x can take are often the positive real numbers, but this is not always the case.)
Here is a simple example of direct proportion.
David drives from his home at a constant speed of 100km/h.
The formula for the distance d km travelled in t hours is
Step-by-step explanation:
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