Math 116

posted by .

could someone please evaluate what i have so far and help me with the last few questions...

the linear equation: y = 0.15x + 0.79 represents an estimate of the average cost of gas for year x starting in 1997. the year 1997 would be represented by x = 1, for example, as it is the first year in the study. similarily, 2005 would be year 9, or x=9.
a) what year would be represented by x = 4? 2000
b) what x-value represents the year 2018? 22
c) what is the slope (or rate of change) of thsi equation?
2018: 0.15(22) + 0.79 = $4.09
1997: $0.94

4.09–0.94 divided by 2018-1997
= 3.15 divided by 21
= 0.15
= answer is $0.15 per year

d) what is the y-intercept? no idea
e) what does the y-intercept represent? where the line crosses on the graph
f) assuming this growth trend continues, what will the price of gas be in 2018? how did you arrive at thsi answer?
2018: 0.15(22) + 0.79 = $4.09
1997: 0.15(1) + 0.79 = $0.94

4.09–0.94 divided by 2018-1997
= 3.15 divided by 21
= 0.15 = $0.15 per year

  • Math 116 -

    a, b and c are correct.
    d) The y-intersept (where x = 0) is y = 0.79
    e) The x-intercept (where y = 0) is
    x = -0.79/0.15 = -5.267
    f) $4.09 is correct. Your other calculations are unnecessary

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math 116

    could someone please help me with this question. I have no clue where to start... the line: y = 0.15x + 0.79 represents an estimate of the average cost of gasoline for each year. the line: 0.11x - y = -0.85 estimates the price of gasoline …
  2. Algebra

    3. The linear equation y=0.15x+.079 represents an estimate of the average cost of gas for year x starting in 1997. The year 1997 would be represented by x = 1, for example, as it is the first year in the study. Similarly, 2005 would …
  3. algebra

    The linear equation y=0.15x+0.79 represents an estimate of the average cost of gas for year x starting in 1997. the year 1997 would be represented by x=1, for example, as it is the first year in the study. similarly, 2005 would be …
  4. equations

    The linear equation y=0.15x + 0.79 represents an estimate of the average cost of gas for year x starting in 1997. The year 1997 would be represented by x = 1, for example, as it is the first year in the study. Similarly, 2005 would …
  5. equations

    I am not great at equations... I keep practicing and working these problems and questions out but I always seem to get different answers can someone please guide me on how or tell me the correct way to work these problems out>> …
  6. equations

    I am not great at equations... I keep practicing and working these problems and questions out but I always seem to get different answers can someone please guide me on how or tell me the correct way to work these problems out>> …
  7. math

    1. Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: a) What does the number 3.03 represent?
  8. maath 116

    3. The linear equation represents an estimate of the average cost of gas for year x starting in 1997. The year 1997 would be represented by x = 1, for example, as it is the first year in the study. Similarly, 2005 would be year 9, …
  9. math 116 Help Please

    1. Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: C(g) = 3.5 (g) a) Find C(2) (2 pts.) b) Find C(5) (2 pts.) 2. …
  10. Algebra

    The linear equation y=0.15x+0.79 represents an estimate of the average cost of gas for year x starting in 1997. the year 1997 would be represented by x=1, for example, as it is the first year in the study. similarly, 2005 would be …

More Similar Questions