Solve the problem.
-In 2005, a special mixed-nut blend at a store cost $1.35 per lb, and in 2010 the blend cost $1.83 per lb. Let y represent the cost of a pound of the mixed-nut blend x years after 2005. Use a
Linear equation model to estimate the cost of a pound of the mixed-nut blend in 2007.
A) $1.54
B) $1.59
C) $1.64
D) $1.68

Question

Quizplus · Accepted Answer

To find the cost in 2007, we first determine the slope of the line connecting the two points (0, 1.35) in 2005 and (5, 1.83) in 2010. The slope (m) is (1.83 - 1.35) / (5 - 0) = 0.48 / 5 = 0.096. The equation of the line is y = 0.096x + 1.35, where x is the number of years after 2005. For 2007, x = 2, so y = 0.096(2) + 1.35 = 0.192 + 1.35 = $1.54.

Solve the Problem. -In 2005, a Special Mixed-Nut Blend at a Store Cost