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Solving problems involving direct variation
This document discusses direct variation and how to represent direct variation relationships using equations. It provides examples of how to write equations for direct variations between different variables such as cost and weight, circumference and diameter, water pressure and height. It also gives examples of writing direct variation equations from given values and using the equations to solve for unknown values when other values are given.
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Overview of direct variation problems by Mario D. De La Cruz Jr.
Equations explaining variations such as cost of chicken, circumference and diameter.
Additional equations on water pressure and perimeter, showcasing direct variation concepts.
Instructions for writing equations of direct variation with specific values given.
Problem 1: Solving for y when y varies directly as x.
Problem 2: Finding q when p varies directly as q.
Problem 3: Finding m given that m varies directly as n.
Problem 4: Solving for y with a more complex direct variation equation.
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Solving problems involving direct variation
- 1. SOLVING PROBLEMS INVOLVING DIRECT VARIATION MARIOD. DE LA CRUZ JR
- 2. Express each ofthe following by means of an equation where k represents the constant of variation. 1. The cost (c) of chicken varies directly as its weight (w). 2. The circumference (c) of a circle varies directly as the length of its diameter (d).
- 3. Express each ofthe following by means of an equation where k represents the constant of variation. 3. Water pressure (P) varies directly as the height (h) of the water. 4. The perimeter (P) of a square varies directly as its side (s).
- 4. Write an equationwhere y varies directly as x 1. y = 24 when x = 3 2. y = 0.3 and x = 0.15 3. x = 9 when y = 21
- 5. Problems involving Direct Variation 1.If y varies directly as x, and y = 40 when x = 16. Find y when x = 30.
- 6. Problems involving Direct Variation 2.If p varies directly as q, and p = 25 when q= 20, find q when p = 140.
- 7. Problems involving Direct Variation 3.If m varies directly as n, and m = - 15 when n= 3, find m when n = 10.
- 8. Problems involving Direct Variation 4.If y varies directly as 2p + 3, and y = 14 when p = 2, find y when p = 5.