Five Boxes of candles contain a total of 60 candles.Each box holds the same number of candles(you can answer the bottom one if u want)

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Answer:Part 1) For 8 boxes the number of candles is 96Part 2) For 120 candles the number of boxes is 10Part 3) The graph in the attached figureStep-by-step explanation:we know thatA relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]Lety ----> the number of candlesx ----> the number of boxes This problem represent a proportional relationship between the variables x and yFind the value of the constant of proportionality kwe have the ordered pair (5,60)substitute the value of x and the value of y to find k[tex]k=\frac{y}{x}[/tex] ---> [tex]k=\frac{60}{5}=12\ \frac{candles}{box}[/tex]The linear equation is equal to[tex]y=12x[/tex]Part 1) Complete the tableFor x=8 boxesFind the value of ysubstitute the value of x in the linear equation[tex]y=12(8)[/tex][tex]y=96\ candles[/tex]Part 2) Complete the tableFor y=120 candlesFind the value of xsubstitute the value of y in the linear equation[tex]120=12x[/tex]solve for x[tex]x=10\ boxes[/tex]Part 3) Graph the relationshipwe haveThe linear equation[tex]y=12x[/tex]using a graphing toolThe graph in the attached figure
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