Given:
Let x represents the number of weeks.
Let y represents the amount of money.
Given that you are saving money for a new cell phone.
At week 0 you have saved $20 and at week 10 you have $100.
Writing this as coordinates, we get;
(0,20) and (10,100)
We need to determine the slope of the linear equation.
Slope:
The slope of the equation can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting the coordinates, we get;
[tex]m=\frac{100-20}{10-0}[/tex]
[tex]m=\frac{80}{10}[/tex]
[tex]m=8[/tex]
Thus, the slope of the linear equation is $8.
Hence, $8 is put away each week.