Question

Determine if this relationship forms a direct variation. Verify your answer.

Answer 1

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

so

we have

a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50

b) for x=2 y=1--------> y/x=1/2-------> 0.50

c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50

d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50

the value of k is equal to 0.50

so

the relationship forms a direct variation. 

the equation is

y=0.50*x

Verify

for x=1

y=0.50*(1)------> y=0.50-----> is correct

for x=2

y=0.50*(2)------> y=1.00-----> is correct

for x=3

y=0.50*(3)------> y=1.50-----> is correct

for x=5

y=0.50*(5)------> y=2.50-----> is correct

Answer 2

Answer:

Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant. The rate of change, or constant of variation, is 0.5.

Step-by-step explanation:

This is the sample answer