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In this lesson, we will learn how to derive equations for functions using tables and apply this in real-life situations.

Q1:

The membership of a music club costs $15 per month, as shown in the table. Write an equation for the total cost, π , of a music club membership for a duration of π‘ months.

Q2:

A portion of fencing 100 feet long is cut into two pieces. One piece, which is π₯ feet long, is used to enclose a square pen. The other piece is shaped into an enclosure as an equilateral triangle. What is the total area enclosed as a function of π₯ ?

Q3:

Write an equation that describes the relationship between the input and output.

Q4:

Q5:

Q6:

Amelia is going biking. For every mile she bikes, she burns 125 calories. In the graph and table below, π represents the number of miles she bikes, and π represents the number of calories she burns. Write an equation for the number of calories, π , that she burns if she bikes π miles.

Q7:

Find an equation that represents the function in the table.

Q8:

Q9:

Q10:

If π is the perimeter of a square whose side length is π , determine π as a function of π , then find π ( 1 9 ) .

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