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faltersainse [42]
3 years ago
12

describe methods you can use to show a proportional relationship between two variables, x and y. for each method, explain how yo

u can find the unit rate and the slope.
Mathematics
2 answers:
Nataliya [291]3 years ago
8 0
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. 

<span>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. </span>

<span>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 </span>

<span>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)</span>
kupik [55]3 years ago
5 0

Answer:

Table of Values: The ratio of (Y) to (X) gives the unit rate and slope.

Equation: If the equation can be written as y=mx, then m is the unit rate and the slope.

Graph: When the line passes through the origin, the slope of the graph gives the unit rate and the slope.

Step-by-step explanation:

you can just copy everything here, its in the teacher's book

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