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.

1) y should vary directly with x

y = 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 x

y = 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 

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 variation

y = 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

i think it would be 42cm

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,