Composition of Functions

WINTER IS THE BEST TIME TO PREPARE FOR THE SUMMER!

THE KELLY FAMILY POOL

The Kelly family is building a rectangular swimming pool and wants to lay 1 ft x 1 ft tiles around the perimeter of the pool. They want the pool to be 16 feet wide, but they haven’t yet decided how long it should be. They would like the pool to be at least 26 feet long, but given the size of their backyard, the maximum length is 34 feet.

Dropdown

What is the rule for the number of tiles needed based on the length L of the pool?

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Home Depot sells 1 ft by 1 ft tiles for $4.55 per tile and charges a delivery fee of $19.99. Write a rule for the total cost of having n tiles delivered.

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Reorder

What steps should we take if we want to figure out how much it costs to tile the pool?

• Figure out how many tiles we need.

• Multiply the number of needed tiles by $4.55.

• Add the delivery fee of $19.99

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Dropdown

If we were to use a function to describe the cost of retiling the pool, what could it look like?

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