Question

6d. Write an equation to represent the dollar amount in her savingsaccount and the number of weeks of saving. Be sure to specify what eachvariable represents.

Answer 1

y = 24x + 80

Where x is the number of weeks of saving and y is the dollar amount in her savings

Step-by-step 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

`m=(y_2-y_1)/(x_2-x_1)`

Then, replacing (x1, y1) = (0, 80) and (x2, y2) = (5, 200), we get:

`m=(200-80)/(5-0)=(120)/(5)=24`

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