8th U5L9 Linear Models

A linear function has a starting point and then a constant ​ (a)   .

• rate of change/slope
• y-intercept
• increase

A linear function on a graph looks like....

• A curve

• A straight line

A turtles distance from the side of the road is measured at certain times. Fill in the missing numbers of this LINEAR function.

a

c

22 feet

21 feet

20 feet

21.5 feet

Would a linear function be a good model for this data?

• No, it does not make a perfect line.

• Yes, it approximates a line.

Would a linear function be a good model for this data.

• Yes, the data is represented by a single line.

• No, the data does not fit the pattern of a single line, BUT it can be represented by two linear functions.

At what x-value does the linear model change?

• 0

• 4

• 6

• 10

In January, there are 24 puppies in the shelter.
In February, there are 20 puppies in the shelter.

What is the rate of change/slope?

• • +4 puppies a month

• -4 puppies a month

• • +2 puppies a month

• -2 puppies a month

In January, there are 24 puppies in the shelter.
In February, there are 20 puppies in the shelter.

If there is a linear relationship, about how many puppies would be in the shelter in APRIL?

• 16

• 14

• 8

• 12

In January, there are 24 puppies in the shelter.
In February, there are 20 puppies in the shelter.

If there are actually 8 puppies left in March, would a linear model be a good representation??

• Yes

• No

In a basketball game, TEAM A scored 20 pts by the end of the 1st quarter. They had a score of 42 pts by the end of the 2nd quarter.

If their points can be modeled linearly, how many points should they have at the end of the game (4th quarter)?

• 84

• 62

• 108

• 95