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) 3.5 x 2 = 7

b) Find C(5) 7/5 = 1.4
would this be correct ?

a is correct b is 3.5(5)=17.5

Thank you can you explain to me how you got the 17.5 answer please

3.5 multiplied by 5.

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.)2002
b) How much did it cost per gallon of gasoline in the year represented by x=2? 2000 divided by 2 = .99

c) What x-value represents the year 2011? this one I am not sure
d) Assuming this growth trend continues, what will the price of gasoline be in the year 2011? How did you arrive at your answer?

sorry im not sure.

Thank you for your help

a) To find C(2), you need to substitute 2 for g in the equation C(g) = 3.5g. So C(2) = 3.5(2) = 7.

b) However, you made an error in calculating C(5). The correct calculation would be C(5) = 3.5(5) = 17.5.