Q2 M1 - Direct Variation

The cost (c) varies directly as the number (n) of candies is written as:

• 𝑛 = 𝑘𝑐
• 𝑐 = 𝑘𝑛
• 𝑛 = 𝑘/𝑛
• 𝑐 = 𝑘/𝑛

Which of the following situations represents a direct variation?

• The number of pechay plants in a row to the space between them
• The cost per person of renting a private resort to the number of persons sharing the rent
• The service fee of a physical therapist to the number of hours of service rendered
• The number of days a bag of bread lasts to the number of persons who consume it

The statement “m is proportional to s” may be translated mathematically as

• 𝑚 = 𝑘𝑠
• 𝑘𝑦 = 𝑠
• 𝑠 = 𝑘𝑚
• 𝑚 = 𝑘/𝑠

M varies directly as p. What effect will it have on M if p is doubled?

• M is quadrupled
• tripled
• halved
• doubled

M varies inversely as p. What effect will it have on M if p is doubled?

• M is quadrupled
• tripled
• halved
• doubled

What kind of variation equation is 𝑠𝑝𝑒𝑒𝑑 = 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒/𝑡𝑖𝑚𝑒 if the distance is held constant?

• Direct Variation
• Inverse Variation
• Combined Variation
• Joint Variation

What kind of variation equation is 𝑠𝑝𝑒𝑒𝑑 = 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒/𝑡𝑖𝑚𝑒 if speed is held constant?

• Direct Variation
• Inverse Variation
• Combined Variation
• Joint Variation

What is the graph of a direct variation?

• Line
• Parabola
• Hyperbola
• Ellipse

If y is directly proportional to x and y = 6 when x = 3, find y when x = 12?

• 3
• 4
• 24
• 48

If y varies inversely as x, and 𝑦 = −3 when x = 8, find y when x = 12.

• 9
• – 9
• 2
• – 2