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Each battery will die when the remaining charge is 0 %.
The tablet lasts longer. See solution.
To determine which battery lasts longer, we can compare the number of hours it takes for each battery to have a 0 % charge. We will begin by finding when the laptop's battery dies from the given graph.
Next we will determine how long the tablet's battery lasts. It is given that the tablet's initial charge is 75 % and that the battery loses 12.5 % each hour. We can write each of these percents in decimal form as 0.75 and 0.125, respectively. Now we can use this information to write a linear equation in slope-intercept form. p=0.75-0.125t To graph this function, we will make a table of values.
t | 0.75 - 0.125t | p |
---|---|---|
0 | 0.75 - 0.125( 0) | 0.75 |
2 | 0.75 - 0.125( 2) | 0.5 |
4 | 0.75 - 0.125( 4) | 0.25 |
6 | 0.75 - 0.125( 6) | 0 |
Now we will plot the found ordered pairs in a coordinate plane. We can also draw a line connecting the points.
p= 0
LHS+0.125t=RHS+0.125t
.LHS /0.125.=.RHS /0.125.