Answer:
The answer in the procedure
Step-by-step explanation:
Let
x------> the number of minutes
y------> the depth in feet
In this problem the relationship between the variables, x, and y, represent a proportional variation
Remember that
A proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
so
step 1
Find the value of k
Let
[tex]A(2,3)[/tex] ------> see the given table
[tex]k=y/x[/tex] ----> substitute the values
[tex]k=3/2=1.5[/tex]
The direct variation equation is equal to
[tex]y=1.5x[/tex]
step 2
Complete the table
For [tex]x=3\ min[/tex]
substitute the value of x in the equation and solve for y
[tex]y=1.5(3)=4.5\ ft[/tex]
step 3
Complete the table
For [tex]y=6\ ft[/tex]
substitute the value of y in the equation and solve for x
[tex]6=1.5x[/tex]
[tex]x=6/1.5=4\ min[/tex]
