1.5 - 1.6 Check-In

Solve: 2x + 3 < 11

Solve: -4 ( 3x - 5 ) > 2 ( x - 4 )

The amount of juice in a grapefruit is directly proportional to the cube of its diameter. A grapefruit with a 4-inch diameter contains 6 fluid ounces of juice. How much juice is contained in a grapefruit with a 5-inch diameter? The amount of juice is 11.7 ounces.

The area of a projected picture on a movie screen varies directly as the square of the distance from the projector to the screen. If a distance of 2 feet produces a picture with an area of 64 square feet, what distance produces a picture with an area of 100 square feet? The distance is 3 feet.

The force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of its speed and inversely as the radius of the curve. It takes 2800 pounds of force to keep an 1800 pound car from skidding on a curve with a radius of 425 feet at 45 mph. What force is needed to keep the same car from skidding when it takes a similar curve with a radius of 450 feet at 55 mph?