HELP PLEASE! URGENT!

Greg started with a certain number of quarters. He then decided on a number of quarters he would save each day. He added the quarters he saved to the amount with which he started.

At the end of day 2, Greg had a total of 26 quarters saved.

At the end of day 5, he had a total of 35 quarters saved.

At the end of day 8, he had a total of 44 quarters saved.

Hint: Create an x/y or t-chart and fill in the numbers with x-value representing the # of days and the y-value representing "total coins."

A. How many quarters does Greg start with (day zero)? Show or explain your work.

B. Write an equation in slope-intercept form to model the total quarters Greg has saved after x days.

C. Using the rate at which Greg is saving, explain why he can never have exactly 100 quarters saved by the end of any given day.

1 answer

looks like every 3 days he gains 9 quarters
so the "slope" is 9/3 = 3

y = 3x + b
when x = 2, y = 26
26 = 3(2) + b
b = 20

y = 3x + 20
test: when x = 8, y = 3(8) + 20 = 44, which is the same as the given

to have 100 = 3x + 20
3x = 80
x = 80/3 days, which is not a whole number for days