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rudy wanted to drive a car that uses less gasoline, so he bought a hybrid. there is a proportional relationship between the volume of gasoline rudy's car uses when driving on the highway (in gallons), x, and the distance he drives it on the highway (in miles), y. x (gallons) y (miles) 1 25 2 50 3 75 4 100 what is the constant of proportionality? write your answer as a whole number or decimal.



Answer :

The constant of proportionality for x gallons water and y miles is k = 25

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.

Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

A proportionate connection is simple to represent as a straight line on a coordinate plane. It is a straight line because it is directly proportional; the slope serves as the constant of proportionality.

The proportionate change along the x and y axes never varies, hence the slope or increase is constant.

According to the question,

x(gallons)     y(miles)

 1                       25

 2                      50

 3                      75

 4                      100

As we know, If y is proportional to x

=> y ∝ x

=> y = kx , where k is constant of proportionality

Using the table,

when x = 1 => y = 25

=> 25 = k(1)

=> k = 25

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