Write an equation to represent the problem.
-Jennifer Park's 2007 income was 6.9% greater than her 2006 income. Her income in 2007 was $78,100. Let i represent 2006 income.
A) i - 0.069i = 78,100
B) 2i + 0.069i = 78,100
C) i + 0.069·78,100 = 78,100
D) i + 0.069i = 78,100

Question

Quizplus · Accepted Answer

If Jennifer's 2006 income is represented by i, then her 2007 income is i + 0.069i, which simplifies to 1.069i. We are given that 1.069i = $78,100, so we can write the equation i + 0.069i = $78,100, which is equivalent to choice D. If Jennifer Park's 2007 income was 6.9% greater than her 2006 income, we can represent it as the equation:
2007 income = 2006 income + 0.069(2006 income)
or
2007 income = 1.069(2006 income)
We are given that her 2007 income was $78,100:
2007 income = $78,100
Substituting this value in the equation, we get:
1.069(2006 income) = $78,100
Simplifying the equation:
2006 income = $73,400
Therefore, the equation that represents the problem is:
i + 0.069i = 78,100
which simplifies to:
1.069i = 78,100
and the value of i is $73,400.

Write an Equation to Represent the Problem