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Module 4
Variation and Problem Solvong
| Question | Answer |
|---|---|
| Tips- (DIRECT VARIATION)When substituting into the proportionality equation, remember to always stay consistent. | |
| Tips- Do not confuse direct variation with inverse variation. | |
| Step 1- write down equation y=kx | |
| Step 2- Substitute the values of each variable into the equation | |
| Step 3- Divide both sides of the equation x to solve for k | |
| Step 4- Rewrite the direct variation equation using the value of the proportionality constant. | |
| Step 5- substitute the value given in the second part of the problem into the new equation | |
| Step 6- perform the indicated computations . | |
| Tips- (INVERSE VARIATION)- remember as one increases the other decreases, or vice versa. | |
| Step 1- analyze your data | |
| Step 2- Express known and unknown values in an inverse variation equation | |
| Step 3- plug in the value for "k" and solve for "F" | |
| Tips- (JOINT VARIATION) remember that constant variation is a number that relates to how the value of one mathematical variable changes as another mathematical variable increases. | |
| step 1- read the question being given carefully, noting which variables vary directly with which other variables | |
| step 2- calculate the constant of variation by dividing the dependent variable by the independent variable. | |
| step 3- finish solving the constant of variation problem | |
| Read section 8.4 in Pearson for additional help |