Question

dependent variable

• a variable whose value is ______ by another variable.
• it represents the \______\ or

esult\ that changes.

• usually represented by ___

(image: types of variable, y = 4x, dependent variable (y), independent variable (x))

constant of proportionality

• the ______ ___ (k) is the special, ______ number that shows how two things are related when they change together.
• you can find it by dividing the \_\ value by the \_\ value (k = y/x),
• for example, if one can of soup costs $1.50, then $1.50 is the constant of proportionality.

(image: constant of proportionality, equation y = kx, formula k = y ÷ x, graph with k = 1/2)

direct variation

• a ________ graph that starts at the origin (0,0)
• this means that as x increases, y increases by the same factor(number), and as x decreases, y decreases proportionally.

(image: direct variation, y = kx, x and y axes, x↑ y↑)

Explanation:

Dependent Variable

• A variable whose value is determined by another variable.
• It represents the "outcome" or "result" that changes.
• Usually represented by 'y'

Constant of Proportionality

• The constant of proportionality (\(k\)) is the special, fixed number that shows how two things are related when they change together.
• You can find it by dividing the "y" value by the "x" value (\(k = \frac{y}{x}\)).

Direct Variation

• A straight - line graph that starts at the origin \((0,0)\)

Answer:

Dependent Variable

• A variable whose value is determined by another variable.
• It represents the "outcome" or "result" that changes.
• Usually represented by 'y'

Constant of Proportionality

• The constant of proportionality (\(k\)) is the special, fixed number that shows how two things are related when they change together.
• You can find it by dividing the "y" value by the "x" value (\(k = \frac{y}{x}\)).

Direct Variation

• A straight - line graph that starts at the origin \((0,0)\)