Proportional Relationships Answers

Which representation has a constant of variation of –2.5?Ax–2–3–4–5y–5–7.5–10–12.5Bx46810y–10–15–20–25CD

Which explains whether or not the values in the table represent a direct variation?x461020y11.52.55

Caleb made the table below to show the number of hours he works and the amounts he earns over a four-week period.Caleb’s EarningsHours12151821Earnings(in dollars)140170200230Which describes whether the relationship between the earnings and the number of hours represents a direct variation?

Which function has the greatest constant of variation?Ax891011y2022.52527.5Bx1234y3.26.49.612.8CD

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?

A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall.Amount of Paint and Size of Wall Area of wall , x64144400Amount of paint (pints), y4925How much paint should the painter expect to use to paint a wall with an area of 256 square feet?

A veterinarian knows that a 50-pound dog gets 0.5 milligram of a certain medicine, and that the number of milligrams, m, varies directly with the weight of the dog, w. The vet uses these steps to find the amount of medicine to give a 10-pound dog.Step 1Find the constant of variation.Step 2Write the direct variation equation.Step 3Substitute 10 into the equation to find the dosage for a 10-pound dog.Step 4Solve for w.The 10-pound dog needs 1000 milligrams.In which step did the veterinarian make the first error?

Which linear function shows a direct variation?Graph AGraph BGraph CGraph D

A person weighs a different amount on other surfaces in space than they do on Earth because the gravitational pull of each surface is different than that of Earth. The table and graph show the weights of objects on Earth, Mars, and the Moon.Weight on Earth and MarsWeight on Earth, e90 pounds120 pounds160 poundsWeight on Mars, a36 pounds48 pounds64 pounds Weight on Earth and MoonIf a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon (based on the table and graph)?

Which table represents a direct variation?Table Ax46810y791113Table Bx46810y12182430Table Cx46810y1357Table Dx46810y3333