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$y=mx+b,$ where $m$ is the slope and $b$ is the $y$-intercept. We know that Chinquita started with $$40.$ This means that after $0$ weeks of savings, she had $$40.$ This value represents the $y$-intercept. $b=40$ The second information is that Chinquita saves $$8$ each week. Thus, the slope is equal to $8.$ Let's now substitute these two values into the formula to complete the equation. $y=8x+40$

b

$m=8andb=40$ The $y$-intercept is where the line of the function crosses the $y$-axis. It can be written as the point $(0,40).$ To find another point on the line we use the slope, $m=8.$

To finish the graph, we'll draw a line trough the points.

c

We can see that the amount saved is above $$80.$ Therefore, Chinquita will afford the fan after $6$ weeks.