Write three functions. In the first function, y should vary directly with x. In the second function, y should vary inversely with x. In the third function, the relationship between x and y should be neither inverse variation nor direct variation. Describe the graph of each function and give a real-world example for each.
Accepted Solution
A:
we have1) y should vary directly with xy = kx ------ > that means that when x increases, y increases or vice versa by the same factor k
Example--- > A car runs x hour with
speed 5 m/h --> Distance y = 5x
2) y should vary inversely with xy = k/x ------ > that means that when x increases, y decreases or vice versa by the same factor k
Example------- > A distance of 360km can be covered in 3 hours at a speed of 120kph in 4 hours at a speed of 90kph
Y=360/x------
> y is the speed of a car
at time x and 360 is the proportionality constant
3) the relationship between x and y should be neither inverse variation nor direct variationy = 1.8x +32
Temperatures in degrees Fahrenheit are linearly related to those in
degrees Celsius, but the relation is neither directly nor inversely proportional.see the attached figure to see the graph