proportionality. x y x k y if we double x, we double y. if we triple y, we triple x. if we halve...

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proportionality

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Page 1: Proportionality. x  y x  k y if we double x, we double y. If we triple y, we triple x. If we halve x, we halve y. k is the proportionality constant

proportionality

Page 2: Proportionality. x  y x  k y if we double x, we double y. If we triple y, we triple x. If we halve x, we halve y. k is the proportionality constant

x a y x = k y

if we double x, we double y.If we triple y, we triple x.If we halve x, we halve y.

k is the proportionality constant.

x and y are directly proportional variables.k is a constant

Page 3: Proportionality. x  y x  k y if we double x, we double y. If we triple y, we triple x. If we halve x, we halve y. k is the proportionality constant

Is the amount of gas you pay at the gas station directly proportional to the amount you pumped?

Is the number of miles between NYC and Chicago directly proportional to the number of yards between NYC and Chicago?

Is a person's height directly proportional to his age?

Page 4: Proportionality. x  y x  k y if we double x, we double y. If we triple y, we triple x. If we halve x, we halve y. k is the proportionality constant

Where the answer is yes, please determine the name and/or the actual numerical value of the proportionality constant.

Is the amount of gas you pay at the gas station directly proportional to the amount you pumped? Yes

Is the number of miles between NYC and Chicago directly proportional to the number of yards between NYC and Chicago? Yes

Is a person's height directly proportional to his age? No

Page 5: Proportionality. x  y x  k y if we double x, we double y. If we triple y, we triple x. If we halve x, we halve y. k is the proportionality constant

Where the answer is yes, please determine the name and/or the actual numerical value of the proportionality constant.

Is the amount of gas you pay at the gas station directly proportional to the amount you pumped? price of gas ($/gallon, these days between 3.5-4 $/g)

Is the number of miles between NYC and Chicago directly proportional to the number of yards between NYC and Chicago? unit conversion(1760 yds/mi)

Is a person's height directly proportional to his age? No