Q2 M2 - VARIATIONS: JOINT & COMBINED VARIATIIONS

Express the statement “G varies directly as 𝑥^3 and inversely as 𝑦^2” as:

• 𝐺 = 𝑥^3𝑦^2
• 𝐺 = 𝑘𝑥^3𝑦^2
• 𝐺 = 𝑥^3𝑦^2
• 𝐺 = 𝑘𝑥^3𝑦^2

Which of the following is an equation of a joint variation?

• 𝑡 = 6𝑥𝑦
• 𝑡 = 6𝑟
• 𝑡 = 6𝑟^2
• 𝑡 = 𝑟/6

If b varies jointly as d, e, and f, then which of the following equations describes the relationship between the three variables b, d, e, and f ?

• 𝑏 = 𝑘𝑑𝑒𝑓
• 𝑏 = 𝑑𝑒𝑓/𝑘
• 𝑏 = 𝑑𝑒𝑓
• 𝑏 = 𝑘𝑑𝑒𝑓

If z varies jointly as x and y, and z = 4 when x = 2, and y = 8, what is the value of z when x = 18 and y = 6?

• 432
• 54
• 27
• 2024-01-04 00:00:00

What is the constant of variation when z varies as y and inversely as x, and z = 12 when x = 8 and y = 24?

• 2024-01-16 00:00:00
• 4
• 16
• 36

M varies directly as the square of p and inversely as the square of R. M = 4, when p = 4, and R =2. What is the value of M when p = 6 and R = 5?

• 1975-12-01 00:00:00
• 1
• 36/25
• 2024-05-06 00:00:00

V varies jointly as B and h. Find the constant of proportionality if 𝑉 = 200𝑚^3, 𝐵 = 20𝑚^2, and ℎ = 30𝑚.

• 2
• 2024-01-02 00:00:00
• 3
• 2024-01-03 00:00:00

Which of the equation represents the relationships of the quantities given?

• 𝐹𝑜𝑟𝑐𝑒 = 𝑘(𝑚𝑎𝑠𝑠)(𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒)^2
• 𝐹𝑜𝑟𝑐𝑒 = 𝑘(𝑚𝑎𝑠𝑠)(𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒)^2
• 𝐹𝑜𝑟𝑐𝑒 = 𝑘(𝑚𝑎𝑠𝑠)𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒
• 𝐹𝑜𝑟𝑐𝑒 = 𝑘(𝑚𝑎𝑠𝑠)(𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑐𝑒)

What is the constant of variation?

• 2024-05-02 00:00:00
• 2024-01-02 00:00:00
• 125/2
• 625/2

Find Force when mass = 45kg and distance = 15 meters?

• 62.5 Newton
• 187.5 Newton
• 1687.5 Newton
• 5062.5 Newton