Answer:
y = 24x + 80
Where x is the number of weeks of saving and y is the dollar amount in her savings
Explanation:
We need to find the equation of the line. If x is the number of weeks of saving and y is the amount in her savings, the equation has the following form
y = mx + b
Where m is the slope and b is the y-intercept.
The slope can be calculated using two points in the line (x1, y1) and (x2, y2) as follows
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Then, replacing (x1, y1) = (0, 80) and (x2, y2) = (5, 200), we get:
[tex]m=\frac{200-80}{5-0}=\frac{120}{5}=24[/tex]
Additionally, the y-intercept is the point where the graph crosses the y-axis. In this case, the point is (0, 80), so the value of b is 80.
Therefore, the equation of the line is
y = 24x + 80
Where x is the number of weeks of saving and y is the dollar amount in her savings
