Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 / text{ cm}10 cm10, start text, space, c, m, end text. But then, the snow started melting at a rate of / dfrac{1}{3} / text{ cm} 3 1 cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text per hour. What was the depth of the snow on Cherry Street after 333 hours?

9 cm

Step-by-step explanation:

10-1 hours=9cm

Question:

Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers.

After a winter storm, the depth of the snow on Cherry Street was

10 cm. But then, the snow started melting at a rate of 1/3 cm

per hour.

What was the depth of the snow on Cherry Street after 3

hours?

Answer:

The depth of the snow on Cherry Street after 3 hours is 9 cm

Step-by-step explanation:

Here we have

Initial depth of snow = 10 cm

Rate at which the snow melts = 1/3 cm/hour

Decrease in depth of snow after 3 hours = 3 hour * 1/3 cm/hour = 1 cm

Since decrease in the depth of snow is recorded with negative number, we have;

The decrease in depth of snow after 3 hours = - 1 cm

Therefore the depth of the snow after 3 hours is given by;

Depth of snow + change in snow level after 3 hours

= Depth of snow + Decrease in depth of snow after 3 hours (-1)

(Initial depth of snow - Level of snow melted in 3 hours)

= 10 cm - 1 cm = 9 cm

Which gives the depth of snow after 3 hours = 9 cm.