Algebra II



Algebra IIName: ______________________Practice #2 (8.1) VariationDate: ______________ Per: ____For questions 1-5, express each of the following as an equation. Use k as the constant of variation if none is given:1.y is directly proportional to x with a constant of proportionality of 16.2.r varies jointly as s and t.3.c varies directly with d and inversely with g and the square of f. 4.I varies inversely with P and directly with V. 5.y varies jointly as x and z and inversely with w. Find the missing variable:6. y varies directly with x. If y = 15 when x = -18, find y when x = 1.6.7. y varies inversely with x. If y = 7 when x = -4, find x when.Determine whether each equation represents direct, joint, inverse, or no variation:8. 9. 10. 11. 12. 13. Determine from the tables below if the data shows a direct, inverse, or no variation. 35623562230x-8-44812y84-4-8-1200x-8-44812y84-4-8-12356235062230x22.545y500040002500200000x22.545y5000400025002000If so, write an equation relating the two variables:14. 15. 35623586995x12345y6817200x12345y6817216. Word Problems: 17. Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 15 pounds stretches a certain spring 8 inches, how much will a force of 30 pounds stretch the spring?18. The area of a triangle varies jointly as the lengths of its base and height. A triangle with a base of 10 ft and a height of 4 ft has an area of 20 square ft. Find the area of a triangle with a base of 3 ft and a height of 8 ft.neither ft2direct inverseInverse direct16 inchesjointinverseno variationdirectAnswers all mixed up: ................
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