Addition and subtraction of linear functions
Shared savings
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Nadia and her brother Daniel are saving money.
At the beginning of the year Nadia had
$20, Daniel $100.
Despite the difference in the amounts of their
savings, they decided to plan a joint purchase:
a computer that costs $600. To be fair,
Nadia offered to save $6 per week in subsequent weeks, while
Daniel would save $4 per week.
The graphs below describe the savings of the two over time.
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| Daniel's savings (dollars) |
| weeks from start of year |
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| Nadia's savings (dollars) |
| weeks from start of year |
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Present the sum and difference functions of the two
functions describing Daniel's and Nadia's savings.
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What is the meaning of the sum and the difference functions in terms of the story?
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Write questions about the story and describe how
the sum and difference functions can be used to answer them.
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