Describe methods you can use to show a proportional relationship between two variables, x and y. for each method, explain how you can find the unit rate and the slope.

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Mathematics

Esmeralda Mathews

2 July, 04:42

Describe methods you can use to show a proportional relationship between two variables, x and y. for each method, explain how you can find the unit rate and the slope.

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Kaitlynn Adams · Answer 1

If the ratio of x/y or x/y is always the same constant, then a and y are directly proportional and the constant is called the constant of proportionality.

If the product of xy is always the same constant, then a and y are inversely proportional and the constant is called the constant of proportionality.

unit rates - - - are like any rate found by dividing - - - like speed - - - miles per hour unit means 1 and this is miles traveled in one hour (at constant speed) - - - so you just divide - - - traveling 100 miles in 2 hours = 50 miles in 1 hour - - - 50 miles per hour - - - miles/hour <<< that is a unit rate

slope is a rate of change - - - on an x-y coordinate axis graph the slope is the rate of change of y compared to a change in x - - - this is not necessarily a unit rate ... slope of 2/3 means a change of 2 for y will create a change of 3 for x (not a change of 1, so it is not a unit rate)