Translating Combined Variation

𝑦 varies directly as 𝑥 and inversely as 𝑧

• y = (kx)/z

• y = k(x*z)
• y = k(x+z)
• y = (kz)/x

𝑎 varies jointly as 𝑏 and 𝑐 and inversely as 𝑑

• 𝑎 = k * 𝑏 / 𝑐 * 𝑑
• 𝑎 =(k * 𝑏 * 𝑐 )/ 𝑑

• 𝑎 = k * 𝑑 / (𝑏 + 𝑐)
• 𝑎 = k * 𝑏 + 𝑐 - 𝑑

The electrical resistance R of a wire varies directly as its length l and inversely as the square of its diameter d.

• R = k * (l / d^2)
• R = k * (l + d^2)
• R = k * (d / l^2)
• R = k * (l * d^2)

The acceleration A of a moving object varies directly as the distance d it travels and inversely as the square of the time t it travels.

• A = k * (t / d^2)
• A = k * (d * t^2)
• A = k * (d^2 / t)
• A = k * (d / t^2)

The pressure P of a gas varies directly as its temperature t and inversely as its volume V.

• P = k * (V / t)
• P = k * (t + V)
• P = k * (t - V)
• P = k * (t / V)

If 𝑦 varies directly as the square of 𝑥 and inversely as 𝑧 and 𝑦 = 15 when 𝑥 = 5 and 𝑧 =10, what is the constant (k) of variation?

• 3
• 6
• 10
• 12

If 𝑦 varies directly as the square of 𝑥 and inversely as 𝑧 and 𝑦 = 15 when 𝑥 = 5 and 𝑧 =10, find 𝑦 when 𝑥 = −3 and 𝑧 =−6.

• 6
• -9
• 0
• -15

Suppose 𝑧 varies jointly as 𝑤 and 𝑥 and inversely as 𝑦 and 𝑧 = 2 when 𝑤 = 6, x =5, and 𝑦 = 15. What is the constant of variation?

• 1
• 4
• 2
• 3

Suppose 𝑧 varies jointly as 𝑤 and 𝑥 and inversely as 𝑦 and 𝑧 = 2 when 𝑤 = 6, x =5, and 𝑦 = 15. Find 𝑧 when 𝑤 = 3, 𝑥 = 4, and 𝑦 = 6.

• 1
• 3
• 4
• 2

Combined variation includes 2 more variations.

• TRUE

• FALSE

• Both true and false

• Neither true nor false