The iterative rule for each sequence in the table will be to use the slope-intercept form of the equation of a line y=mx+b.
<h3>How to depict the information?</h3>
In this situation, x is the week, and y is the amount paid. Basically, you need to find the slope, represented by m, which is the amount the amount paid increases by each week, and the y-intercept, b, which is the "amount paid" at week 0.
The x-coordinate is the week, and the y coordinate is the amount paid. Because the weeks are incrementing by 1, x2-x1=1.
After that, to complete the rule, you need to find the y-intercept. If the amount paid is 200 on week 1, and the amount paid increases by 50 each week.
Another way to think about it is by plugging your points into the incomplete rule. Let b represent the y-intercept. Plug in the values for week 1 and solve for b.
The calculations to convince your friend that both your rules work are:
m=(y2-y1)/(x2-x1)
(x1,y1)=(1,200)
(x2,y2)=(2,250)
m=(250-200)/(2-1)
=50/1 =50
y=50x+b
200=50(1)+b
200=50+b
b=200-50
b=150
Learn more about tables on:
brainly.com/question/3632175
#SPJ1
