Relationships Between Variables

Identify the variables in the following situation:
An athlete runs m miles and burns c calories

• m is the dependent variable and c is the independent variable.
• m is the independent variable and c is the dependent variable

Identify the variables in the following situation:
An automobile tire loses t milliliters of tread traveling m miles

• t is dependent variable and m is the independent variable
• t is an independent variable and m is the dependent variable

Identify the variables in the following situation:
An object falls d meters in t seconds.

• d is the dependent variable and t is the independent variable.
• d is the independent variable and t is the dependent variable

Identify the variables in the following situation:
A tree trunk has r rings after growing for y years.

• r is the dependent variable and y is the independent variable.
• r is the independent variable and y is the dependent variable

Determine the relationship suggested by the table:

• Add 15 to x to find y
• Add 14 to x to find y
• Triple x to find y
• Subtract 14 from x to find y

Determine the relationship suggested by the table:

• Add 3 to x to find y
• Divide x by 3 to find y
• Triple x to find y
• Subtract 10 from x to find y

Write an equation that represents the relationship between the two variables.

• x + 16 = y
• 16x = y
• y + 16 = x
• 16y = x

Write an equation that represents the relationship between the two variables.

• x + 2 = y
• y + 2 = x
• 2y  = x
• 2x = y

Write an equation that represents the relationship between the two variables.

• h + 480 = m
• 480m = h
• h - 480 = m
• 480h = m

Challenge:
Write an equation that represents the relationship between the two variables.
You open a bank account and deposit $10.00.  Every Month you deposit $25.00.  Let T represent the total money in your account after m months

• T = 35m
• T = 35 +10m
• T = 10 + 25m
• T = 25 + 10m