Mathematics, 17.09.2019 20:30 kiramartin3

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.

Answers: 2

Show answers

Answers

Answer from: 24lbriscoe

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

Alinear function can be used to estimate the decrease in snowfall measured since 1920. the decrease

Answer from: Ndow2

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, y=48.6-0.24x

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

Substitute x = 78

y=48.6-0.24(78)

y=29.88

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

Answer from: Quest

Hnmmmn not sure

Answer from: Quest

Answers: the graph is translated down 1 unit and the domain and range of g(x) is the same as the domain and range of f(x).

Another question on Mathematics

Mathematics, 21.06.2019 15:00

Ateacher has $80 to buy workbooks. each work book cost $3. if she buys as many workbooks as possible, how much money does she have leftover? a) $2 b) $4 c) $6 d) $8

Answers: 1

Answer

Mathematics, 21.06.2019 15:30

For one history test, keith had to answer 40 questions. of these 40 questions, keith answered 28 of them correctly. what percent did keith get on his history test? round your answer to the nearest tenth if necessary

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

For each proportion find the unknown number x 1/5/8=×/15

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

If the simple annual interest rate on a loan is 6, what is the interest rate in percentage per month?

Answers: 1

Answer

You know the right answer?

Alinear function can be used to estimate the decrease in snowfall measured since 1920. the decrease...