Increasing Arithmetic Sequences

• 
• 
• 

Answer explanation

3 is the initial value.

6 is the common difference (pattern) because it is attached/multiplied to the variable, meaning it's being used multiple times.

• Dots

• Hours

• Minutes

• Pattern

Answer explanation

Hours is the X independent variable.

This is affecting how many of the shape there are. You need to know the Hour before you can say how many there are.

• y = 6(5) + 3

• 6(1200) + 3

• 5x + 3

• 6(0) + 3

• 6 + 3 + 3

Answer explanation

Anything that uses the equation y=6x+3 (with or without the y=) by SUBSITUTING the values from the first X column are correct.

You should not change anything except for the X since it's the only variable.

• Dots

• Hours

• Minutes

• X

Answer explanation

The first column of the table is always the X, so it is Hours.

IN CONTEXT means to put what it means, not just putting X.

• (0,3)

• (0,6)

• (6,0)

• (3,0)

Answer explanation

At Hour 0, there are 3 dots (initial value).

Therefore, the coordinate of (x,y) is (0,3) and should be ON the y-axis.

• x

• y

• 11

• 4

Answer explanation

4 is attached/multiplied to the variable of X, so it is used multiple times as the common difference.

This means that the pattern will increase/add by 4 every time.

• x

• y

• 11

• 4

Answer explanation

11 is the initial value because it is by itself and simply needs to be added back after applying the pattern.

Answer explanation

Minutes is the X independent variable.

This is affecting how many of the shape there are. You need to know the Minute before you can say how many there are.

• Dots

• Hours

• Minutes

• X

Answer explanation

The first column of the table is always the X, so it is Minutes.

IN CONTEXT means to put what it means, not just putting X.

You can just put the numbers on the Y-column of the table onto the Y-axis.

• True

• False

Answer explanation

The numbers might skip around unevenly on the table so most of the time you CANNOT just put the numbers from the table onto the graph.

You should always SCALE the axes by going by a certain pattern so the numbers are evenly spaced apart. For example, you can go by 1s, 5s, 10s, etc.