1) ............................................ is just like direct variation, but it involves more than 2 variables a) Joint variation b) Merged variation c) Inverse variation d) Partial variation 2) When two variables are in relation with a formula or a variable is related by the sum of two or more variables then it is ....................... a) Joint variation b) Merged variation c) Inverse variation d) Partial variation 3) The relationship of the form y = kx + b where k and b are not equal to zero is usually .......................... a) Inverse variation b) Joint variation c) Partial variation d) Direct variation 4) If A varies directly as B and the value of A is 15 and B is 25, what is the equation that describes this direct variation of A and B? a) A = 1.67B b) A = 0.3B c) A = 0.6B d) A = KB 5) If y varies jointly as x and z, and y = 10 when x = 4 and z = 5, find the constant of proportionality. a) k = 1 b) k = 0.5 c) k = 1.2 d) k = 0.75 6) If y varies jointly as x and z, and y = 12 when x = 2 and z = 3, find y when x = 7 and z = 4. a) y = 56 b) y = 112 c) y = 18 d) y = 28 7) If y varies directly as x and inversely as z, and y = 5 when x = 2 and z = 4, find y when x = 3 and z = 6. a) y = 6 b) y = 7 c) y = 5 d) y = 3 8) If the formula for partial variation is y = mx + b, given that m = 20 and b = 2000, what would be the formula to rent a building? a) y = 20x + 2000 b) y = 1000x + 2000 c) y = 2x + 2000 d) y = 500x + 200 9) The equation of a partial variation is y = 3x + b , y = 23 and x = 3.5. Determine b a) b = 12.5 b) b = 9.5 c) b = 10.5 d) b = 11.5 10) P varies jointly with Q and the square of R, and P is 3 when Q = 2 and R = 3. Calculate the constant of variation. a) k = 1/6 b) k = 1/3 c) k = 1/4 d) k = 3
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VARIATION: Distinguish between Joint and Partial Variation
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