3.2 Flashcards

1
Q

What is a directly proportional relationship?

A

A relationship where two variables change in the same ratio when one becomes k times as large, the other also becomes k times as large.

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2
Q

What is the formula for a directly proportional relationship?

A

y = kx

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3
Q

What does the variable k represent in the formula y = kx?

A

The constant of proportionality

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4
Q

If y = 3x, what is the constant of proportionality?

A

3

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5
Q

What happens to y when x becomes four times as large in the relationship y = 3x?

A

y becomes four times as large

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6
Q

Fill in the blank: A directly proportional relationship has a y-intercept of _______.

A

0

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7
Q

True or False: The graph of a directly proportional relationship is a line that passes through the origin.

A

True

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8
Q

What is the gradient of the line in a directly proportional relationship?

A

It is equal to the constant of proportionality.

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9
Q

In the ratio table for y = 3x, what is the ratio of y to x?

A

3

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10
Q

What does a table of values corresponding to a directly proportional relationship show?

A

The ratio of the two numbers is equal for each column.

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11
Q

If x = 1 in the equation y = 3x, what is the value of y?

A

3

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12
Q

If x = 10 in the equation y = 3x, what is the value of y?

A

30

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13
Q

If x = 100 in the equation y = 3x, what is the value of y?

A

300

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