Question

Linda's account balance can be modeled using linear function She deposits the same amount into her savings account each month Her balance 11 months saving is $50890 balance after 2 years of saving is $1056 statement is TRUE?

Answer 1

The statement is not true because her final balance after 2 years = 24 months is less than her balance after 11 month, and the amount she withdraws every month is approximately $3,833.4

Explanation:

The amount Linda saves after 11 months = $50,890

The amount she has in her balance after 2 years = $1,056

Let the equation representing how much Linda saves, 'y', be represented as follows;

y = m·x + c

Where;

x = The number of months

c = Her initial balance (her first deposit)

m = The amount she saves each month

When x = 11, we have;

50,890 = 11·m + c...(1)

When x = 24 (2years), we have;

1,056 = 24·m + c...(2)

Subtracting equation (1) from (2) gives;

1,056 - 50,890 = 24·m - 11·m + c - c

-49,834 = 13·m

m = -49,834/13 ≈ -3,833.4

Therefore, the amount she deposit (withdraws) every month = ($3,833.4)

Therefore, the statement is not true because her final balance after 2 years = 24 months is less than her balance after 11 month, she is withdrawing from her balance every month based on the given account balance.