Proportional Relationships Answers

Which graph or equation represents a nonproportional relationship? ABCy 0.375xD

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

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

A botanist uses the representations below to show the heights in inches, h, of different plants over a period of time, t.Plant ATime in weeks, t6080100120Height in inches, h90120150180Plant BIf the growth patterns continue, how much taller is the tallest plant than the shortest plant at 120 weeks of growth?

The table below shows the number of color pages a printer prints out over a period of time.Printed Pages in ColorTime (min), x26818Number of pages, y391227What is the constant of variation?

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?

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