A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table.

Which table shows a negative correlation?




Darius is studying the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. He measures the length and width in centimeters of each rectangle and plots the points on a graph, where x represents the width and y represents the length. The points representing the rectangles are (6.1, 12.0), (5.0, 8.1), (9.1, 15.2), (6.5, 10.2), (7.4, 11.3), and (10.9, 17.5). Which equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters?
Rob is investigating the effects of font size on the number of words that fit on a page. He changes the font size on an essay and records the number of words on one page of the essay. The table shows his data.Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page?

The scatterplot shows the time it takes for a new hot plate to boil various amounts of water, and one lab group’s attempt at a line of best fit.

The dog weighs N.
If objects at the same distance suddenly decreased in mass, the gravitational force between them would .
If the distance between two objects of the same mass decreased, the force of gravity between them would .
Which condition describes an object having terminal velocity?
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The average mass of a rhinoceros calf is 45 kg. What is its weight in newtons? Round your answer to the nearest whole number.
Which celestial body would have the strongest gravitational pull on a satellite orbiting 100 km above its surface? Explain your answer.
The Sun would have the strongest gravitational pull. According to Newton's Law of Universal Gravitation, the force of gravity is directly proportional to the mass of the objects. Since the Sun has a much greater mass than any planet or moon in our solar system, it exerts the strongest gravitational force at a consistent distance of 100 km from its surface.
What did you include in your response? Check all that apply.Jupiter would have the strongest gravitational pull on a satellite.Gravity is directly proportional to mass.Jupiter is the most massive, so it will have a stronger gravitational pull.
For every increase in mass, the gravitational force . If the total mass increases by a factor of 4, the gravitational force .
✔ decreases increasesstays the same
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