# Lesson 7 Tracking the Tortoise Solidify Understanding

Solve for the value of

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In the fairy tale “Jack and the Beanstalk”, Jack plants a magic bean before he goes to bed. In the morning, Jack discovers a giant beanstalk that has grown so large, it disappears into the clouds.

But here is the part of the story you never heard. Written on the bag containing the magic beans was this note.

and ). |

Time (hours) | ||||||||||||||
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Height (feet) |

Jack was a good math student, so although he never looked at his beanstalk during the night, he used the function to calculate how tall it should be as it grew. The given table shows the calculations he made every half hour.

Hence, Jack was not surprised when, in the morning, he saw that the top of the beanstalk had disappeared into the clouds.

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Demonstrate how Jack used the model

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During that same night, a neighbor was playing with his drone. It was programmed to hover at

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Did you use the table in the same way to answer #8 as you did to answer #7? Explain.

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While Jack was making his table, he was wondering how tall the beanstalk would be after the magical

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Commercial jets fly between

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Use the table to find

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Use the table to find

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Explain why it’s possible to answer some questions about the height of the beanstalk by just substituting the numbers into the function rule and why sometimes you can only use the table.

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Jack’s table represents a function. Is it an invertible function? Justify your answer.

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Graph the inverse of

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This question refers to

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A table of values for

The functions are defined:

Calculate the indicated function values.