Starting at noon, Brianna 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=0.008 x+7, where x represents the number of minutes past noon. What could the number 0.008 represent in the equation? The amount of snow on the lawn at 1 p.m. The amount of snow on the lawn when the blizzard ended. The amount of snow on the lawn when Brianna began to measure. The change in the amount of snow on the lawn for every one additional minute.

Question

Starting at noon, Brianna 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=0.008 x+7, where  x represents the number of minutes past noon. What could the number 0.008 represent in the equation? The amount of snow on the lawn at 1 p.m. The amount of snow on the lawn when the blizzard ended. The amount of snow on the lawn when Brianna began to measure. The change in the amount of snow on the lawn for every one additional minute.

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Analyze Equation: Analyze the equation given by Brianna for the amount of snow on the lawn. The equation is s = 0.008x + 7, where s represents the inches of snow on the lawn and x represents the number of minutes past noon.Identify Components: Identify the components of the equation. The equation is in the form of a linear equation y = mx + b, where m is the slope and b is the y-intercept. In this context, the slope (m) represents the rate of change of snow accumulation over time, and the y-intercept (b) represents the initial condition at the starting time, which is noon.Determine Meaning of 0.008: Determine what the number 0.008 could represent. Since 0.008 is the coefficient of x (the number of minutes past noon), it represents the rate of change of the snow accumulation. This means it is the amount of snow, in inches, that accumulates for every additional minute.Evaluate Options: Evaluate the options given in the problem to see which one matches our interpretation of the number 0.008. - The amount of snow on the lawn at 1 p.m. is not correct because this would be the total amount of snow at a specific time, not a rate of change. - The amount of snow on the lawn when the blizzard ended is not correct for the same reason as above. - The amount of snow on the lawn when Brianna began to measure is not correct because the equation already accounts for the initial amount of snow with the +7 term. - The change in the amount of snow on the lawn for every one additional minute is the correct interpretation of the number 0.008 because it is the coefficient of x, which represents time in minutes.

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