Question

Question 2 Write an equation that gives the amount of snow that h after x hours at this rate. Complete the equation below Use x as your variable. 1

Answer 1

ANSWER

y = 2x

EXPLANATION

We have that after 2 hours, 4 inches of snow had fallen.

We also have that the snow continues falling at this rate.

We are told to use x as the variable. This means that the hours the snow falls is represented by x.

It also means that the amount of snow is represented by y.

A linear equation is given generally as:

y = mx + c

where m = slope

c = y intercept

The slope basically means the rate of change of y values with respect to x values.

Since snow continues falling at the rate of 4 inches (y) every 2 hours (x), therefore, the rate (slope) is:

$m\text{ = }\frac{y}{x}=\frac{4}{2}\text{ = 2}$

Now, we will use the point-slope method to find the equation:

$y-y_1=m(x-x_1)$

where (x1, y1) is any set of points

We have a set of points already (x1, y1) as (2, 4) (remember 2 hours, 4 inches), so:

=> y - 4 = 2(x - 2)

y - 4 = 2x - 4

=> y = 2x - 4 + 4

y = 2x

Therefore, that is the equation that represents the amount of snow fallen after x hours.