Question

At 1:00 pm, Ryan realizes his computer has been unplugged. He needs to work on the computer in his car and wants it to be fully charged. The image on the right represents the time it took for the laptop to charge.


Resources:

Desmos Guide

Regression tool

Line of Best Fit Video


When can Ryan expect his laptop to be fully charged? Do a quick estimate and explain your reasoning.

He does a quick calculation at 1:17 and estimates the computer charges 1% a minute. He estimates it will be fully charged by 2:30. Was he right?

Was his prediction over or under?

Graph all the data points. Draw an original graph or use a digital graphing calculator. Hint: First, convert the minutes to decimals then create a table of values.

Use the regression tool on Desmos (see the Desmos guide) to graph the points on a line, or draw your own. Write a line of best fit in the form y = mx + b.

Based on the line of best fit, when will the computer be fully charged?

Was your first estimate correct? Why do you think Ryan's first estimate was not accurate?

Answer 1

The amount of time it will take for Ryan expect his laptop to be fully charged by following the example on the image attached.

What is the battery percentage about?

16 %= 4m

28%= 15m

37%= 10m

51% = 24m

69% = 34m

81%= 17m

Based on his quick calculation at 1:17 and estimates that it will be fully charged by 2:30 is wrong because when you look at the i]steps above, you will see that it the minute used too charge varies.

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