math 116 Help Please
posted by Sydney .
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. Suppose that the linear equation y = 0.3x + 0.9 represents an estimate of the average cost of gas for year x starting in 2002. The year 2002 would be represented by x = 1, for example, as it is the first year in the study. Similarly, 2008 would be year 7, or x = 7.
a) What year would be represented by x = 2? (2 pts.)
b) How much did it cost per gallon of gasoline in the year represented by x=2? (2 pts.)
c) What x-value represents the year 2011? (2 pts.)
d) Assuming this growth trend continues, what will the price of gasoline be in the year 2011? How did you arrive at your answer? Show your work (2 pts.)
3. Suppose the line y = 0.3x + 0.9 represents an estimate of the average cost of gasoline for each year and the line 0.2x – y = -0.8 estimates the price of gasoline in January of each year.
a) What are the slopes of each of these two lines? (2 pts.)
b) Are the lines intersecting, parallel, or perpendicular? Explain your reasoning. (1 pt.)
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