Math(Please check)

The value of an automobile was $15,780 in 1994 and depreciated to $5400 in 1999. Let y be the
value of the automobile in the year x, where x = 0 represents 1994. Write a linear equation in
slope-intercept form that models the value y of the automobile, x years after 1994.

Would the answer be y = -5,400 x + 15,780?

  1. 0
  2. 3
asked by Hannah
  1. The y-intercept is correct, but -5400 would not be the slope of the line. Remember that slope represents the rate of change, specifically the change in y divided by the change in x. In this case, y is the value of the automobile and x is the year. If that doesn't help, I can clarify it further.

    posted by Christina
  2. As Christina pointed out, the y-intercept (value at year 0) is correct. However, the formula does not work for year 5, equivalent to 1999, because the depreciation of 5400 was accumulated over 5 years.

    You only need a change in the slope to correct the equation.

    posted by MathMate
  3. Another answer choice was y=-2076x + 15,780. Is this correct? If it is I do not understand how they go -2076. Thank you for your help!

    posted by Hannah
  4. I do not understand how -2076 came about.

    Since the value depreciated $5400 in 5 years, I would expect the slope to be -$5400/5 = -$1080 per year.

    Does that make sense to you?

    posted by MathMate

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra! help!

    In 1994 school lunch was $1.20. In 1999 it increased to $2.25. FInd the rate of change for school lunch from 1994-1999
  2. Alg 1

    The rectangular has an area of 5400 cm^2. What is the value of w? 5400 = (w)(2w - 30) 5400 = 2w^2 - 30 w 5400 = 2w(w - 15) Now I am stuck. My choices are: -45 cm 45 cm 60 cm 90 cm What do I need to do next to get the correct
  3. economics

    What have forecast of economic growth done consistently? Economic growth patterns decreased sharply from 1990-1991. Then they rose sharply and gradually leveled off up until 1999. However, inflation dropped steadily from
  4. homework

    What have forecast of economic growth done consistently? Economic growth patterns decreased sharply from 1990-1991. Then they rose sharply and gradually leveled off up until 1999. However, inflation dropped steadily from
  5. economics

    Economic growth patterns decreased sharply from 1990-1991. Then they rose sharply and gradually leveled off up until 1999. However, inflation dropped steadily from 1990-1999. It decreased sharply at first and then leveled off from
  6. Geography (Ms. Sue)

    1). How are the two conflicts in Georgia that you read about similar? A: The two conflicts are similar as they both resulted in violence and countless casualties? 2). Why did ethnic tensions in Russia and the Republics seldom
  7. math

    a new automobile depreciated 20% of its value after 1 year. if the automobile is priced at $18,000 after 1 year, what was its cost when it was new?
  8. Math

    A car was valued at 30k in 1994, it depreciated to 15k by 2000. What was the annual rate of change between 94 and 2000?
  9. AP Chemistry

    Hey I have the AP Chem test coming up and i was wondering where I could find the answer key to some of the AP Chemistry tests like 1994, 1999, and 2002 MC and FR
  10. Algebra

    In 1994 the life expectancy of males in a certain country was 61.6 years. In 1999, it was 63.8 years. Let E? represent the life expectancy in year t and let t represent the number of years since 1994. 1) The linear function E(t)

More Similar Questions