Question 80·Medium·Linear Functions
The graph shows the battery level , in percent, of a tablet hours after it was unplugged. The relationship between and is linear.
Which choice is the value of when the battery level is ?
When a graph shows a linear relationship and asks for the input that gives a particular output, pick two clear points to find the slope, write the line as , and then substitute the requested -value to solve for .
Hints
What does linear mean here?
Because the relationship is linear, the graph represents a line, so you can model it with .
Find the rate of change
Use two labeled points to compute the slope .
Solve for the time
After you have an equation for in terms of , substitute and solve for .
Desmos Guide
Plot the two points
In Desmos, enter the points and .
Graph the line through the points
Type y = mx + b and use the two points to determine the line (or use a table with y1 ~ m x1 + b).
Find where the line hits 60%
Graph the horizontal line and find the -value of the intersection point.
Step-by-step Explanation
Read two points from the graph
From the graph, the line passes through and .
Find the slope
So the battery level changes by percentage points per hour.
Write the equation and solve for when
Use with :
So . Set and solve:
Therefore, .