Question

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)

Answer 1

Part 1) For 8 boxes the number of candles is 96

Part 2) For 120 candles the number of boxes is 10

Part 3) The graph in the attached figure

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

Let

y ----> the number of candles

x ----> the number of boxes

This problem represent a proportional relationship between the variables x and y

Find the value of the constant of proportionality k

we have the ordered pair (5,60)

substitute the value of x and the value of y to find k

`k=(y)/(x)` --->
`k=(60)/(5)=12\ (candles)/(box)`

The linear equation is equal to

`y=12x`

Part 1) Complete the table

For x=8 boxes

Find the value of y

substitute the value of x in the linear equation

`y=12(8)`

`y=96\ candles`

Part 2) Complete the table

For y=120 candles

Find the value of x

substitute the value of y in the linear equation

`120=12x`

solve for x

`x=10\ boxes`

Part 3) Graph the relationship

we have

The linear equation

`y=12x`

using a graphing tool

The graph in the attached figure