Compare functions represented in different ways (Part 1).
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Mari and Lewis both have cell phone plans that give them each 10 gigabytes (GB) of data each month. The graph and table below show the remaining amount of data that Mari and Lewis have after each week in the month.
Lewis's Phone Data Usage | |||||
Week Number | 0 | 1 | 2 | 3 | 4 |
Data Remaining (GB) | 10 | 9.6 | 7.4 | 4.9 | 1.6 |
At the Atkinson Farm, you can pick your own vegetables. You pay a small fee to enter the farm, and then you pay a price per pound of vegetables you pick. The graph below shows the total cost as a function of pounds of vegetables.
The Jackson Farm also allows you to pick your own vegetables. You pay an entry fee of $15 and then $2.50 per each pound of vegetables you pick.
Two functions are shown below.
Function 1: $${y={2\over3}x +1}$$
Function 2:
$$x$$ | $$y$$ |
4 | 3 |
6 | 4.5 |
8 | 6 |
10 | 7.5 |
Ella states that Function 2 has a greater initial value because $$3>1$$. Tommy states that Function 2 has a greater rate of change because $$1\frac{1}{2} > \frac{2}{3}$$.
Do you agree with either Ella or Tommy? Explain your reasoning.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Cora and Daniel are both saving money each month. The total amount in their savings accounts is a function of the number of months they have been saving. Each account is represented below.
Cora: $${y=65x+100}$$, where $$y$$ represents the total amount and $$x$$ represents number of months
Daniel:
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