The equation of the line that models the amount of money, y, in her account x months from now is y=200+20x.
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
Given Christie has $200 in her bank account. Every month, she deposits $20 into her account. Therefore, we can write her balance after one month as,
Account balance after 1 months, y = 200 + 20
Account balance after 2 months, y = 200 + (2)20
Account balance after 3 months, y = 200 + (3)20
Therefore, the Account balance after x months can be written as,
y = 200 + 20x
Hence, The equation of the line that models the amount of money, y, in her account x months from now is y=200+20x.
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