Question

I need help finding the values

Answer 1

The answer in the procedure

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
`y/x=k` or
`y=kx`

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

`A(2,3)` ------> see the given table

`k=y/x` ----> substitute the values

`k=3/2=1.5`

The direct variation equation is equal to

`y=1.5x`

step 2

Complete the table

For
`x=3\ min`

substitute the value of x in the equation and solve for y

`y=1.5(3)=4.5\ ft`

step 3

Complete the table

For
`y=6\ ft`

substitute the value of y in the equation and solve for x

`6=1.5x`

`x=6/1.5=4\ min`