Every Saturday, Justin gets an allowance of $10 from his parents. During every week since Justin began getting an allowance, he spends $8 and saves the remaining $2 of his allowance before he receives his next allowance. The sequence shown represents the amount of money Justin has right before and right after he gets his allowance for six consecutive weeks, starting with $0.
0, 10, 2, 12, 4, 14, 6, 16, 8, 18, 10, 20
Explain why this sequence is or is not a function?
A.
This sequence is not a function because the amount $10 appears in the sequence more than once.
B.
This sequence is not a function because the sequence does not form a line.
C.
This sequence is a function because each input (odd terms in sequence) maps to one output (even terms in sequence).
D.
This sequence is a function because each output (even terms in sequence) maps to one input (odd terms in sequence).
I'm thinking C? PLEASE HELP ME
You are correct! The correct answer is C. This sequence is a function because each input (odd terms in the sequence) maps to one output (even terms in the sequence). In this case, the input represents the number of weeks Justin has been receiving his allowance, while the output represents the amount of money Justin has right before and right after he gets his allowance. Therefore, for every week Justin receives his allowance, there is only one corresponding amount of money he has.
You are correct, the answer is C. This sequence is a function because each input (odd terms in the sequence) maps to exactly one output (even terms in the sequence).
A function is a rule that assigns each input value to exactly one output value. In this case, the input values are the odd terms in the sequence (0, 2, 4, 6, 8, 10) and the output values are the even terms in the sequence (10, 12, 14, 16, 18, 20).
When we examine the sequence, we can see that each input (odd term) has a unique output (even term) associated with it. For example, when the input is 0, the output is 10. When the input is 4, the output is 14, and so on. Therefore, this sequence satisfies the definition of a function because it fulfills the requirement of each input mapping to exactly one output.
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Every Saturday, Justin gets an allowance of $10 from his ...
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I like A.
If we number the weeks as the x-values, then we get two sequences:
0, 1, 1, 2, 2, 3, 3, 4, 4, ...
0, 10, 2, 12, 4, 14, 6, 16, 8, 18, 10, 20
Since each week number appears twice, with different y-values, the x-->y relation is not a function.
C and D do not make sense, since all we have are output values.
Actually, A and B do not make sense either, because a sequence does not define a relation, and thus, surely not a function.