Is the relationship between the variables in the table a direct variation, an inverse variation, both, or neither? if it is a direct or inverse variation, write a function to model it.
x 2 5 15 20
y 20 15 2 2
a. inverse variation;y=10/x
b. neither
c. direct variation; y=x+10
d. direct variation; y=10x
If xy is constant, it's inverse
If x/y is constant, it's direct
Looks like (b) to me
(c) is a bogus answer in any case.
Thanks for the great explanation steve
it is B. neither
i think its neither
d. direct variation; y=10x
To determine the relationship between the variables in the table, we can analyze the values of x and y.
In a direct variation, as x increases, y also increases or decreases by a constant ratio. In an inverse variation, as x increases, y decreases or increases by a constant ratio.
Let's observe the table:
x 2 5 15 20
y 20 15 2 2
As x increases from 2 to 5, y decreases from 20 to 15, indicating an inverse relationship. However, when x increases from 5 to 15, y decreases further from 15 to 2, but not by a constant ratio. This breaks the pattern of an inverse variation.
Therefore, we can conclude that the relationship between the variables in the table is neither a direct nor inverse variation.
There is no single function that can accurately model the relationship between x and y in the given table.
Is the relationship between the variables in the table a direct variation, an inverse variation, both, or neither? if it is a direct or inverse variation, write a function to model it.
x 2 5 12 20
y 30 12 5 3
a. inverse variation;y=60/x
b. neither
c. direct variation; y=2x+2
d. direct variation; y=15x