Drag the tiles to the correct boxes to complete the pairs. Match each function type to the situation it can model.

Tiles
logarithmic, piecewise, polynomial, square root, cube root.

Pairs
Sam owns a vegetable stand. He tracks the price of potatoes, p, in dollars per pound throughout the year. In the beginning of the year, the price of potatoes rose gradually
until it peaked in the third month. After that, the price declined until it bottomed out in the seventh month of the year. Then, the price of potatoes rose to peak again near the
end of the year. →

Erica makes and sells scented candles. For orders of fewer than w candles, she charges x dollars per candle. For orders of greater than or equal to w candles, she drops the price by c cents for each additional candle (but capping her offer so as
not to lose money). A customer’s total cost is y. →

Alec tracks the growing population of cattle on a farm. Initially, the amount of time needed to reach a certain population of x head of cattle grows rapidly. As the population steadily gets larger, the amount of time needed to grow to that population continues to increase, but the growth rate decreases. Alec needs to know which relationship to use to find population growth time as a function of cattle population. →

Gavin is designing a cylindrical silo. He wants the height, h, of the silo to be four times its radius, r. The volume of the silo will be V cubic feet. Gavin wants to know what the radius of the silo should be. →

A tablet manufacturer wants to model the width, y, in inches of its computer screen in terms of the length of the diagonal. The screen measures x inches diagonally, and the length of the screen is 1 inch shorter than the diagonal. →