use the table to answer questions 1 and 2
x 3 4 6 10
y 20 15 5 6

1. the relationship between the variables in the table is a _____ variation.
a. direct
b. inverse
c. none of the two

2. what would be a good function to model the relationship above?
a. y=15x
b. y=60/x
c. y=2x+2
d. there is no relationship above

Question

use the table to answer questions 1 and 2
x 3   4   6 10
y 20 15 5  6

1. the relationship between the variables in the table is a _____ variation.
a. direct
b. inverse
c. none of the two

2. what would be a good function to model the relationship above?
a. y=15x
b. y=60/x
c. y=2x+2
d. there is no relationship above

mathmale · Answer

First, what does a "direct variation" function look like?

keerai · Answer

y=kx

rhondasommer · Answer

$$\Huge\color{#560ba8}{\mathbb{WELCOME\TO\OPENSTUDY}}$$

mathmale · Answer

Good.  Now:  If you were to graph a couple of the points given, you'd see that a line drawn thru them does not go through the origin.  Your "direct variation" equation DOES go through the origin.  I'd encourage you to carry out this graphing to reinforce what I'm saying here.

Next:  give an example of a function that involves inverse variation.

Do your data points seem to fit "inverse variation?"

If you graph a couple of points from the given data and draw a line thru them, your line will cross the y-axis where?  What would you call this point?