Alinear 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.

The annual snowfall in 78th year is 29.88 inches

Step-by-step explanation:

* Lets explain how to solve the problem

- The decrease in the annual snowfall has been on average 0.24 inches

  per year

- x represents the number of years since 1920

- y represent the annual snowfall

- The initial measurement in 1920 was 48.6 inches

- We need to find the annual snowfall in the 78th year after records

  were kept

- The form of the linear function is y = mx + c, where m is the slope

  of the line and c is the y-intercept

- The slope means the average change in y for the change of  x

∴ The slope is the average decreases of the snowfall

- Decreases means negative value of slope

∴ m = -0.24

- The y-intercept means the value of y at x = 0

∴ The initial amount is the y-intercept

∴ c = 48.6

∴ The linear function is:

  y = -0.24 x + 48.6

∵ y = -0.24 x + 48.6

∵ x = 78

- Substitute the value of x in the function

∴ y = -0.24(78) + 48.6

∴ y = -18.72 + 48.6

∴ y = 29.88 inches

* The annual snowfall in 78th year is 29.88 inches

Look to the attached figure for more understand

29.88 inches

Step-by-step explanation:

The decrease in the annual snowfall has been on average 0.24 inches per year

So, Decrease in x years = 0.24x

Initial The initial measurement in 1920 was 48.6 inches.

So, annual snowfall after x years = 48.6-0.24x

let y represent the annual snowfall

So,

Where y represent the annual snowfall  and  x represents the number of years since 1920

Substitute x = 78

Hence the best estimate of the annual snowfall in the 78th year after records were kept is 29.88 inches

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step-by-step explanation: