Problem 1SP: Write a variation model using k as the constant of variation. a. The distance d that a spring... Problem 2SP: Write a variable model using k as the constant of variation. a. The kinetic energy E of an object... Problem 3SP: The amount of the medicine ampicillin that a physician prescribes for a child varies directly as the... Problem 4SP: The yield on a bond varies inversely as the price. The yield on a particular bond is 4 when the... Problem 5SP: The amount of simple interest earned in an account varies jointly as the interest rate and time of... Problem 1PE: If k is a nonzero constant real number, then the statement y=kx implies that y varies as x. Problem 2PE: If k is a nonzero constant real number, then the statement y=kx implies that y varies as x. Problem 3PE: The value of k in the variation models y=kxandy=kx is called the of . Problem 4PE: If y varies directly as two or more other variables such as x and w, then y=kxw, and we say that y... Problem 5PE: a. Given y=2x, evaluate y for the given values of x:x=1,x=2,x=3,x=4,andx=5. b. How does y change... Problem 6PE Problem 7PE: The time required to drive from Atlanta, Georgia, to Nashville, Tennessee, varies as the average... Problem 8PE: The amount of a person’s paycheck varies as the number of hours worked. Problem 9PE: The volume of a right circular cone varies as the square of the radius of the cylinder and as the... Problem 10PE: A student’s grade on a test varies as the number of hours the student spends studying for the... Problem 11PE: For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)... Problem 12PE: For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)... Problem 13PE: For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)... Problem 14PE: For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)... Problem 15PE: For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)... Problem 16PE: For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)... Problem 17PE: For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)... Problem 18PE: For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)... Problem 19PE: For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)... Problem 20PE: For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)... Problem 21PE: For Exercises 21-26, find the constant of variation k. y varies directly as x. When x is 8, y is 20. Problem 22PE: For Exercises 21-26, find the constant of variation k. m varies directly as x. When x is 10, m is... Problem 23PE: For Exercises 21-26, find the constant of variation k. p is inversely proportional to q. When q is... Problem 24PE: For Exercises 21-26, find the constant of variation k. T is inversely proportional to x. When x is... Problem 25PE: For Exercises 21-26, find the constant of variation k. y varies jointly as w and v. When w is 40 and... Problem 26PE: For Exercises 21-26, find the constant of variation k. N varies jointly as t and p. When t is 2 and... Problem 27PE: The value of y equal 4 when x=10. Find y when x=5 if a. y varies directly as x. b. y varies... Problem 28PE: The value of y equal 24 when x is 12. Find y when x=3 if a. y varies directly as x. b. y varies... Problem 29PE: For Exercises 29-48, use a variation model to solve for the unknown value. The amount of a pain... Problem 30PE: For Exercises 29-48, use a variation model to solve for the unknown value. The number of people that... Problem 31PE: For Exercises 29-48, use a variation model to solve for the unknown value. A rental car company... Problem 32PE: For Exercises 29-48, use a variation model to solve for the unknown value. A chef self-publishes a... Problem 33PE: For Exercises 29-48, use a variation model to solve for the unknown value. The distance that a... Problem 34PE: For Exercises 29-48, use a variation model to solve for the unknown value. The amount of pollution... Problem 35PE: For Exercises 29-48, use a variation model to solve for the unknown value. The stopping distance of... Problem 36PE: For Exercises 29-48, use a variation model to solve for the unknown value. The area of a picture... Problem 37PE: For Exercises 29-48, use a variation model to solve for the unknown value. The time required to... Problem 38PE: For Exercises 29-48, use a variation model to solve for the unknown value. The yield on a bond... Problem 39PE: For Exercises 29-48, use a variation model to solve for the unknown value. The current in a wire... Problem 40PE: For Exercises 29-48, use a variation model to solve for the unknown value. The resistance of a wire... Problem 41PE: For Exercises 29-48, use a variation model to solve for the unknown value. The amount of simple... Problem 42PE: For Exercises 29-48, use a variation model to solve for the unknown value. The amount of simple... Problem 43PE: For Exercises 29-48, use a variation model to solve for the unknown value. The body mass index (BMI)... Problem 44PE: For Exercises 29-48, use a variation model to solve for the unknown value. The strength of a wooden... Problem 45PE: For Exercises 29-48, use a variation model to solve for the unknown value. The speed of a racing... Problem 46PE: For Exercises 29-48, use a variation model to solve for the unknown value. The period of a pendulum... Problem 47PE: For Exercises 29-48, use a variation model to solve for the unknown value. The cost to carpet a... Problem 48PE: For Exercises 29-48, use a variation model to solve for the unknown value. The cost to tile a... Problem 49PE: For Exercises 49-52, use the given data to find a variation model relating y to x. Problem 50PE: For Exercises 49-52, use the given data to find a variation model relating y to x. Problem 51PE: For Exercises 49-52, use the given data to find a variation model relating y to x. Problem 52PE: For Exercises 49-52, use the given data to find a variation model relating y to x. Problem 53PE: Which formula(s) can represent a variation model? a.y=kxyzb.y=kx+yzc.y=kxyzd.y=kxyz Problem 54PE: Which formula(s) can represent a variation model? a.y=kxz2b.y=kxz2c.y=kxz2d.y=k+xz2 Problem 55PE: For Exercises 55-56, write a statement in words that describes the variation model given. Use k as... Problem 56PE: For Exercises 55-56, write a statement in words that describes the variation model given. Use k as... Problem 57PE: The light from a lightbulb radiates outward in all directions. a. Consider the interior of an... Problem 58PE: Kepler's third law states that the square of the time T required for a planet to complete one orbit... Problem 59PE: The intensity of radiation varies inversely as the square of the distance from the source to the... Problem 60PE: Suppose that y varies inversely as the cube of x. If the value of x is decreased to 14 of its... Problem 61PE: Suppose that y varies directly as x2 and inversely as w4 . If both x and w are doubled, what is the... Problem 62PE: Suppose that y varies directly as x5 and inversely as w2 . If both x and w are doubled, what is the... Problem 63PE: Suppose that y varies jointly as x and w3. . If x is replaced by 13x and w is replaced by 3w, what... Problem 64PE: Suppose that y varies jointly as x4 and w. If x is replaced by 14x and w is replaced by 4w, what is... format_list_bulleted