Question

a linear function can be used to estimate the decrease in snowfall measured since 1920. the decrease in the annual snowfall has been on average 0.24 inches per year. let \\(x\\) represent the number of years since 1920, when the measurements began, and let \\(y\\) represent the annual snowfall. the initial measurement in 1920 was 48.6 inches. using the average change and initial measurement, which is the best estimate of the annual snowfall in the 78th year after records were kept? round to the nearest hundredth.

15.84 inches
27.72 inches
29.88 inches
67.32 inches

Explanation:

Identify the initial value

Using the Initial Value of Linear Function knowledge point

$$ b = 48.6 $$

Identify the rate of change

Using the Rate of Change knowledge point

$$ m = -0.24 $$

Formulate the linear equation

Using the Slope-Intercept Form knowledge point

$$ y = -0.24x + 48.6 $$

Evaluate the function for the given year

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK0
$$

Answer:

• 15.84 inches
• 27.72 inches
• 29.88 inches (Correct answer)
• 67.32 inches