SOLUTION: There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day. Which linear equation represents the total amount of quarters in the jar after x days? Responses 6y = 2

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day. Which linear equation represents the total amount of quarters in the jar after x days? Responses 6y = 2      Log On


   

Question 1203895: There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day.
Which linear equation represents the total amount of quarters in the jar after x days?
Responses
6y = 2x
y = 6x + 2
y = 2x + 6
y=1/6x+2
Found 2 solutions by MathLover1, math_tutor2020:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y=ax%2Bb

There are 6 quarters in a jar.

b=6
y=ax%2B6

Jill adds 2 quarters to the jar every day.
a=2
y=2x%2B6

linear equation that represents the total amount of quarters in the jar after x days is:
y+=+2x+%2B+6


Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Answer: y = 2x + 6

Reason:

The equation is in y = mx+b form
m = 2 = slope
b = 6 = y intercept

The slope tells us how much the coin count increases. In this case, it's 2 quarters per day.
The y intercept is the starting coin count.

If x = 0, then,
y = 2x + 6
y = 2*0 + 6
y = 6
There are y = 6 quarters after x = 0 days (i.e. the starting day).

If x = 1, then,
y = 2x + 6
y = 2*1 + 6
y = 8
There are y = 8 quarters after x = 1 day

If x = 2, then,
y = 2x + 6
y = 2*2 + 6
y = 10
There are y = 10 quarters after x = 2 days
And so on.