2
AssignmentMultiple Choice

Linear vs. Nonlinear Functions

Question 2 • GA-Algebra: Concepts and Connections A

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?

Answer
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

Explanation

Let p represent the number of pennies. Then Ari has 22 − p nickels. Pennies are worth $0.01 each and nickels are worth $0.05 each, so their total value is 0.01p + 0.05(22 − p). Set this equal to $0.54, giving 0.01p + 0.05(22 − p) = 0.54, which is choice B.

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