Question

For each situation define an independent and dependent variable then find the rate of change. Determine if the slope is increasing, decreasing, or flat.

The total cost, including shipping, for ordering 5 uniforms is $66. The total cost, including shipping, for ordering nine uniforms is $114.
Independent:

Dependent:

rate of change:

The slope is:

Answer 1

See below

Explanation:

Given

• 5 uniforms = $66
• 9 uniforms = $114

Rate of change is, considering two points of (5, 66) and (9, 114):

• (114 - 66)/(9-5) = 48/4 = 12

Expressing the relationship as function

• y = 12x + b
• 66 = 5*12 + b
• b = 6
• y = 12x + 6

Independent variable = number of uniforms

Dependent variable = total cost

Rate of change = 12

Slope = Rate of change = 12