4
AssignmentMultiple Choice

Linear vs. Nonlinear Functions

Question 4 • GA-Algebra: Concepts and Connections A

Marion is making trail mix for a group camping trip. She buys 3 pounds of granola for $3 per pound, and 0.75 pounds of raisins for $2 per pound. The equation 3(3) + 0.75(2) = (3 + 0.75)x models the situation, where x is the price per pound of the trail mix. What is the price of the trail mix?

Answer
A
$0.36/lb
B
$2.50/lb
C
$2.80/lb
D
$6.75/lb

Explanation

The granola costs 3 × $3 = $9, and the raisins cost 0.75 × $2 = $1.50, for a total cost of $10.50. The trail mix weighs 3 + 0.75 = 3.75 pounds, so its price per pound is $10.50 ÷ 3.75 = $2.80. The correct choice is C, $2.80/lb.

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