Dependent and Independent Relationships

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

Identify the independent and dependent variables in the situation.

• Independent = students (s)

  Dependent = time (t)

• Independent = time (t)

  Dependent = students (s)