Calvin and Mike do sit-ups when they work out. They start with 64 sit-ups for the first set and do half as many each subsequent set. A. What representation can you use to show the relationship between the set number and the number of sit-ups?

Answers

Answer 1
Answer:

To represent the relationship between the set number and the number of sit-ups, you can use a simple verbal description: "The number of sit-ups in each set is half of the number in the previous set". The relationship between the set number and the number of sit-ups can be represented as a geometric sequence, where each set has half the number of sit-ups as the previous set. This can be calculated using the formula for a geometric sequence.

To represent the relationship between the set number and the number of sit-ups that Calvin and Mike do, you can use a mathematical expression or formula. In this case, the number of sit-ups in each set decreases by half compared to the previous set. You can express this relationship using an exponential decay formula:

S_(n)  =  S_(1) .  ((1)/(2)) ^(1-n)

Where:

S_(n)  represents the number of sit-ups in the nth set.

S_(1) is the initial number of sit-ups in the first set (which is 64 in this case).

(1)/(2) represents the reduction factor, as each subsequent set has half as    many sit-ups.

n is the set number.

Using this formula, you can easily calculate the number of sit-ups in any set. For example, to find the number of sit-ups in the 4th set (n = 4), you would substitute n = 4 into the formula:

S_(4) = 64 .  ((1)/(2)) ^(4-1)  = 64.((1)/(2)) ^(3)  = 64 .(1)/(8) =8

So, in the 4th set, Calvin and Mike do 8 sit-ups. This formula allows you to determine the number of sit-ups for any set without manually calculating each time.

Learn more about Geometric Sequence here:

brainly.com/question/33243139

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Answer 2
Answer:

Answer:

64/2=32 32/2=16 16/2=8 8/2=4 4/2=2 2/2=1

Step-by-step explanation:

if you were to use a in and out chart you can you can set the in as the starting amount (64) and make the out/formula ÷2


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