Test — Test Answers

Explain why no part of the graph appears below the x-axis?

The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. A particular person weighs 179 pounds on the surface of the earth and the radius of the earth is 3900 miles. Determine the equation that relates weight, W, to the distance from the center of the earth, d, for this person. a. b. c. d. Please select the best answer from the choices provided

Solve:

For the function defined by , What is the constant of proportionality?

The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. Suppose intensity is 8000 units at a distance of 2 miles. What will the intensity be at a distance of 12 miles? Round your answer to the nearest unit.

Given that and What is the domain of the functions f and g?

State the relationship between the graphs of f(x) and g(x).

If y varies inversely as and y = 6 when x = 30, what is y when x = 6?

The quantity n varies jointly with the product of z and the square of the sum of x and y. When x = 2, y = 1, and z = 3, n = 18. What is the constant of variation?

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Given: r is inversely proportional to s. If r = 16 when s = 3, then write the formula for the relation between r and s.

The ideal gas law states that the volume, v, of a gas in liters varies directly with the amount of the gas in moles, n, and the absolute temperature, T, in kelvins and varies inversely with the pressure, P, in atmospheres. Two moles of a gas have a volume of 35.424 L at 270 kelvins when P = 1.25 atmospheres. What is the volume of 3 moles of a gas at 280 kelvins when P = 1.5 atmospheres?

The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. A 40-kg object is 2 meters off the ground. The potential energy of the object is 784 joules. A 10-kg object is 3 meters off the ground. What is the potential energy of the 10-kg object?

Use the equation to determine the pressure when the volume is 10 liters.

When m = 2 and p = , j = 32. If j varies directly with m and inversely with p, what is the constant of variation?

State the relationship between the graphs of f(x) and g(x).

For the function defined by , y varies inversely as what quantity? a. x c. y b. 2x d. Please select the best answer from the choices provided

The width of a desk is 25 inches, or 63.5 centimeters. If a measurement in inches varies directly with a measurement in centimeters, what is the length, in centimeters, of a notebook that is 11 inches long? Round your answer to the nearest hundredth, if necessary.

Which graph represents an inverse variation?

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