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Nutka1998 [239]
2 years ago
5

What is the recursive rule?

Mathematics
1 answer:
julsineya [31]2 years ago
4 0

Mr. Red's salary is an illustration of an arithmetic sequence

The recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

<h3>How to determine the recursive formula?</h3>

From the complete question, we have the explicit rule of Mr. Red's salary to be

an = 500n + 29500

Where:

  • First term, a1 = 30000
  • Common difference, d = 500

The above means that:

The difference between a term and the next term is 500.

So, the recursive rule is:

an = an−1 + 500

Recall that:

a1 = 30000

Hence, the recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

Read more about arithmetic sequence at:

brainly.com/question/6561461

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Answer: Each adult’s meal costed $15

Step-by-step explanation:

This situation can be modeled by the following equation:

2a + 3c = 42, where a = the cost of an adult’s meal, and c = the cost of a child’s meal


Since we know from the problem that a child’s meal costs $4, we know c:

2a + 3(4) = 42


At this point, we can just solve the resulting equation for a:

2a + 3(4) = 42

= 2a + 12 = 42 (simplify 3(4))

= 2a = 30 (subtract 12 from both sides)

= a = 15 (divide both sides by 2)


So, the cost of each adult’s meal was $15.


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Step-by-step explanation:

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Have a nice day

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