Answer:
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
Step-by-step explanation:
we know that
A 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]
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
[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 table
For x=8 boxes
Find the value of y
substitute the value of x in the linear equation
[tex]y=12(8)[/tex]
[tex]y=96\ candles[/tex]
Part 2) Complete the table
For y=120 candles
Find the value of x
substitute the value of y in the linear equation
[tex]120=12x[/tex]
solve for x
[tex]x=10\ boxes[/tex]
Part 3) Graph the relationship
we have
The linear equation
[tex]y=12x[/tex]
using a graphing tool
The graph in the attached figure
