Sarah is purchasing pencils to share. Each package has 12 pencils. The equation n = 12p, where n is the total number of pencils and p is the number of packages, can be used to determine the total number of pencils Sarah purchased. Determine which variable is dependent and which is independent. Then, make a table showing the number of pencils purchased for 3–7 packages.

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Answer and Step-by-step explanation:

Each package has 12 pencils

total number of pencils Sarah purchased: n = 12p

n = total number of pencils

p = number of packages

n depends on p, because the total number of pencils dependos on how many packages she will buy, so:

independent variable: p

dependent variable: n

╔═══╦══════════╦════╗

β•‘ p Β  Β  β•‘ n = 12p Β  Β  Β  Β  Β  Β β•‘ n Β β•‘

╠═══╬══════════╬════╣

β•‘ 3 Β  Β  β•‘ n = 12*3 Β  Β  Β  Β  Β  β•‘ 36 Β  Β  β•‘

╠═══╬══════════╬════╣

β•‘ 4 Β  Β  β•‘ n = 12*4 Β  Β  Β  Β  Β  β•‘ 48 Β  Β  β•‘

╠═══╬══════════╬════╣

β•‘ 5 Β  Β  β•‘ n = 12*5 Β  Β  Β  Β  Β  β•‘ 60 Β  Β  β•‘

╠═══╬══════════╬════╣

β•‘ 6 Β  Β  β•‘ n = 12*6 Β  Β  Β  Β  Β  β•‘ 72 Β  Β  β•‘

╠═══╬══════════╬════╣

β•‘ 7 Β  Β  β•‘ n = 12*7 Β  Β  Β  Β  Β  β•‘ 84 Β  Β  β•‘

β•šβ•β•β•β•©β•β•β•β•β•β•β•β•β•β•β•©β•β•β•β•β•

Answer:

Each package has 12 pencils

total number of pencils Sarah purchased: n = 12p

n = total number of pencils

p = number of packages

n depends on p, because the total number of pencils dependos on how many packages she will buy, so:

independent variable: p

dependent variable: n

╔═══╦══════════╦════╗

β•‘ p Β  Β  β•‘ n = 12p Β  Β  Β  Β  Β  Β β•‘ n Β β•‘

╠═══╬══════════╬════╣

β•‘ 3 Β  Β  β•‘ n = 12*3 Β  Β  Β  Β  Β  β•‘ 36 Β  Β  β•‘

╠═══╬══════════╬════╣

β•‘ 4 Β  Β  β•‘ n = 12*4 Β  Β  Β  Β  Β  β•‘ 48 Β  Β  β•‘

╠═══╬══════════╬════╣

β•‘ 5 Β  Β  β•‘ n = 12*5 Β  Β  Β  Β  Β  β•‘ 60 Β  Β  β•‘

╠═══╬══════════╬════╣

β•‘ 6 Β  Β  β•‘ n = 12*6 Β  Β  Β  Β  Β  β•‘ 72 Β  Β  β•‘

╠═══╬══════════╬════╣

β•‘ 7 Β  Β  β•‘ n = 12*7 Β  Β  Β  Β  Β  β•‘ 84 Β  Β  β•‘

β•šβ•β•β•β•©β•β•β•β•β•β•β•β•β•β•β•©β•β•β•β•β•

Step-by-step explanation: