Question

the equation d=2.5t + 4 gives the depth of the snow on the ground during a snowstorm. the variable t stands for the time that has passed since the start of the storm, and d stands for the total depth of the snow in inches.

Answer 1

Complete Question:

The equation d = 2.5t + 4 gives the depth of the snow on the ground during a snowstorm. The variable t stands for the time that has passed since the start of the storm, and d stands for the total depth of the snow in inches. which is true?

• (a) The snow is 4 inches deep before the storm.
• (b) The snow is 6.5 inches deep before the storm.
• (c) The snow is falling at a rate of 6.5 inches per. hour.
• (d) The snow is falling at a rate of 4 inches per hour.

Solution:

The given relation is: d = 2.5t + 4

• When there is no storm, i.e., t = 0, we get
• d = 2.5 * 0 + 4
• or, d = 4
• Thus, the snow is 4 inches deep before the storm.
• The given relation can be written as follows,
• d - 4 = 2.5t
• Now, differentiating both sides w. r. to t, we get
• dd/dt = 2.5, where dd/dt is the rate of snowfall.
• So rate of storm fall is 2.5 inches / hour.

Answer:

• Option (a) The snow is 4 inches deep before the storm is correct.