Section 4.7 Forming functions from Verbal Descriptions

Review

Express the area of an equilateral triangle as a function of the height.

A girl 4 feet tall stands between a wall and a light on the ground. The light is 12 feet away from the wall. She casts a shadow h feet high on the wall. Express h as a function of d, the girl’s distance from the light.

A store owner bought h packages of candy bars for $4 per package. Each package contained 20 bars. The bars were sold 50 cents each. Write a function that Expresses the profit (p) as a function of h.

A pile of sand is in the shape of a cone with a height equal to 1/3 the diameter. Express the volume of sand as a function of the height.

A box with a square base and top has a volume of 24 cubic feet. Express the total surface area A of the box as a function of the width of the base.