The linear equation y = 82.67x = 1181 provides an approximation of the va;ue (in dollars) of an account opend on january 1, 2010, in the amount of $1181 and earning 7% simple interest, where x = 0 represents january 1, 2010, x=1 represents january 1, 2011, x=2 represents january 1, 2012. and so on. Write an equation that yields the same y-values when the exact year number is entered.
A) y= 82.67(x - 2011) + 1181
B) y= 82.67(2011 - x) + 1181
C) y= 82.67(2010 - x) + 1181
D) y= 82.67(x- 2010) + 1181

Question

The linear equation y = 82.67x = 1181 provides an approximation of the va;ue (in dollars) of an  account opend on january 1, 2010, in the amount of $1181 and earning 7% simple interest, where x = 0 represents january 1, 2010, x=1 represents january 1, 2011, x=2 represents january 1, 2012. and so on. Write an equation that yields the same y-values when the exact year number is entered. 
A) y= 82.67(x - 2011) + 1181
B) y= 82.67(2011 - x) + 1181
C) y= 82.67(2010 - x) + 1181
D) y= 82.67(x- 2010) + 1181

Quizplus · Accepted Answer

The correct equation is D) y = 82.67(x - 2010) + 1181 because it correctly adjusts the original equation to account for the base year being 2010. This means when x = 2010 (the base year), the equation simplifies to y = 1181, which is the initial amount in the account. For each year after 2010, the value of x increases by 1, accurately reflecting the passage of time and the corresponding increase in the account's value due to interest.

The Linear Equation Y = 82