Question

Select the correct answer from each drop-down menu.

This table represents a linear function.
(see image)

Answer 1

Blank one is 2, And blank 2 is 5

Explanation:

This is just a simplified answer of the other guys.

Answer 2

Greater unit rate: function 1. Greater y-intercept: function 2.

Explanation:

The unit rate of a function is its rate of change, and it is given by

`m=(\Delta y)/(\Delta x)`

where
`\Delta y` is the change in the y-variable and
`\Delta x` the change in the x-variable.

For function 1, the rate of change is:

`m_1=(15-5)/(5-0)=2`

For function 2, we can use two points taken from the graph; let's take

(-4,0) and (0,6)

So its rate of change is

`m_2=(6-0)/(0-(-4))=1.5`

So, function 1 has the greater unit rate.

The y-intercept of a function is the y-coordinate of the point where the function touches the y-axis, so the point at which x = 0.

For function 1, this point is already given: in fact, it is

x = 0, y = 5

So the y-intercept is 5.

For function 2, the y-intercept can be inferred from the graph: we see that at x = 0, y = 6, so the y-intercept is 6.

Therefore, function 2 has the greater y-intercept.