In this worksheet, we will practice deriving equations for functions using tables and applying this in real-life situations.

**Q1: **

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

Input | 0 | 2 | 6 |
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Output | 0 | 6 | 18 |

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**Q5: **

A rectangle has a length of 10 units and a width of 8 units. Squares of by units are cut out of each corner, and then the sides are folded up to create an open box. Express the volume of the box as a polynomial function in terms of .

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**Q6: **

Yasmine spends $3.88 every day on transportation to and from work. Write a function rule that relates the total amount of money Yasmine spends on transportation to the number of Yasmineβs working days. Let represent the number of Yasmineβs working days and the total amount of money she spends on transportation.

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**Q7: **

Adel is 9 years older than Nader. Find a function rule that relates Adelβs age to Naderβs age. Let Naderβs age be denoted by and Adelβs age by .

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**Q8: **

A cylinder has a radius of units and its height is 3 units greater than its radius. Express the volume of the cylinder in the form , where is a polynomial in standard form.

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**Q9: **

Find an equation that represents the function in the table.

Input, | 2 | 20 | 24 | 36 |
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Output, | 2 | 11 | 13 | 19 |

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**Q10: **

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

1 | 2 | 3 | 4 | |

125 | 250 | 375 | 500 |

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