Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

dependent variable - a variable whose value is ____ by another variable…

Question

dependent variable

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

esult\ that changes.

  • usually represented by ___

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.

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.

Explanation:

Response
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 "dependent (y)" value by the "independent (x)" value (\(k = \frac{y}{x}\)).
Direct Variation
  • A straight - line 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.

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 "dependent (y)" value by the "independent (x)" value (\(k = \frac{y}{x}\)).
Direct Variation
  • A straight - line 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.