Asked by Weather
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.
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.
Answers
Answered by
mathhelper
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
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
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