AnswersGA-Algebra Concepts and Connections ALinear vs. Nonlinear Functions

Linear vs. Nonlinear Functions Answers

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Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution.Which equation can Bruce use to determine how much of the 10% alcohol solution he should use?

A
0.10x + 0.15(50 – x) = 50 + 0.12
B
0.10x + 0.15(50 – x) = 0.12(50)
C
0.10x + 0.15(50 – x) = 50 + 0.12 + 0.12(50)
D
(0.10x)(0.15)(50 – x) = 0.12(50)
2
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Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54.Which equation can be used to find the number of pennies Ari has?

A
0.01p + 0.05(0.54 – p) = 22
B
0.01p + 0.05(22 – p) = 0.54
C
0.01p + 1.1 = 0.54
D
p + 5(22 – p) = 0.54
3

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. What equation can you use to find the price per pound of the trail mix?

A
3(3)(0.75)(2) = (3 + 0.75)x
B
3(3) + 0.75(2) = (3 + 0.75)x
C
3(3)(0.75)(2) = (3 + 0.75) + x
D
3(3) + 0.75(2) = (3 + 0.75) + x
4

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?

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

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