Math Problem Statement

Starting at noon, Lauren observed the amount of snow on her lawn during a blizzard. She wrote an equation to represent s, how many inches of snow were on the lawn: s = -3 + 0.015x, where x represents the number of minutes past noon. What could the number 0.015 represent in the equation?

Solution

The equation in the image is s=3+0.015xs = 3 + 0.015x, where ss represents the amount of snow on the lawn (in inches) and xx represents the number of minutes past noon. The question asks what the number 0.0150.015 represents in the equation.

In this case, the number 0.0150.015 represents how much snow accumulates every minute during the blizzard. Therefore, the correct answer is:

  • How much more snow is added to the lawn every minute.

Would you like more details on why this is the answer or have any further questions?

Here are 5 related questions for further exploration:

  1. What does the number "3" represent in this equation?
  2. How much snow accumulates in an hour according to this equation?
  3. If the blizzard lasted for 3 hours, how much snow would have accumulated in total?
  4. How would the equation change if the snow started accumulating faster after the first hour?
  5. How can you graph this equation and what does the slope represent?

Tip: When interpreting equations like this one, the coefficient of the variable often represents the rate of change, while the constant term gives the starting point or initial condition.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Rates of Change

Formulas

s = mx + b (Linear Equation)

Theorems

Basic concepts of slope as rate of change

Suitable Grade Level

Grades 7-12