Compare functions represented in different ways (Part 2).
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Sam wants to take his music player and his video game player on a car trip. An hour before they plan to leave, he realized that he forgot to charge the batteries last night. At that point, he plugged in both devices so they can charge as long as possible before they leave.
Sam knows that his music player has 40% of its battery life left and that the battery charges by an additional 12 percentage points every 15 minutes.
His video game player is new, so Sam doesn’t know how fast it is charging but he recorded the battery charge for the first 30 minutes after he plugged it in.
Time Charging (minutes) | 0 | 10 | 20 | 30 |
Video Game Player Battery Charge (%) | 20 | 32 | 44 | 56 |
Battery Charging, accessed on Oct. 31, 2017, 4:05 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
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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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Function A is shown in the table below.
Function A:
$$x$$ | 0 | 2 | 5 | 6 | 8 | 9 |
$$y$$ | 2 | 5 | 9.5 | 11 | 14 | 15.5 |
Four more functions are represented below. Find:
Function 1:
During a rainstorm, the water level in a kid-sized pool rises 1.5 inches every hour. Before the rain started, the pool had 1 inch of water in it.
Function 2:
$${y=1.5x+2}$$
Function 3:
Function 4:
$$x$$ | 0 | 2 | 4 | 6 | 8 |
$$y$$ | 0 | 4 | 8 | 12 | 16 |
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