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? The amount of gas gallons that you pumped
b) Find C(2)
c) Find C(9)
d) For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose the number you did.
e) If you were to graph C(g), what would be an appropriate domain? Range? Explain your reasoning.
2. Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26 and in January 2006 the price of regular unleaded gasoline was $2.31 (Bureau of Labor Statistics, 2006). Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope (or rate of change) between the two points. Describe how you arrived at your answer. m = (2.31 - 1.26)/(2006 - 1997)
m = 1.05/9...This is your slope. I subtracted and divided to get my answer.
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, or x = 9.
a) What year would be represented by x = 4?
b) What x-value represents the year 2018?
c) What is the slope (or rate of change) of this equation?
d) What is the y-intercept?
now this a new record 2009 til 2018
a) To find the year represented by x = 4, you would substitute x = 4 into the equation. So, year = 1997 + 4 = 2001.
b) To find the x-value representing the year 2018, you would subtract 1997 from 2018. So, x = 2018 - 1997 = 21.
c) The slope (or rate of change) of the equation is the coefficient of x. In this case, the coefficient is 0.15.
d) The y-intercept is the value of y when x = 0. Substituting x = 0 into the equation, we get y = -0.06. So, the y-intercept is -0.06.