Question

The total number of gallons of water in a tank, w, after t minutes is given in this table and the plot.



What is an equation showing the relationship between w and t?

Enter your answer by filling in the box to complete the equation.

w =

Answer 1

The equation showing the relationship between w and t is $w = 4t$

From the table, we have the following points:

(0,0) and (1,4)

Start by calculating the slope (m)

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{4 -0}{1 -0}$

Simplify the numerator and the denominator

$m = \frac{4}{1}$

Divide 4 by 1

$m = 4$

The equation is then calculated as:

$w = m(t - t_1) + w_1$

This gives

$w = 4(t - 0) + 0$

Simplify

$w = 4t$

Hence, the equation is $w = 4t$

Read more about linear equations at:

https://brainly.com/question/14323743