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The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.The price f(x), in dollars, of fuel A after x months is represented by the function below:f(x) = 2.15(0.98)xPart A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)Part B: The table below shows the price g(m), in dollars, of fuel B after m months.m (number of months) 1 2 3 4g(m) (price in dollars) 4.19 3.98 3.78 3.59Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer. (5 points)(10 points) |
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Answer» Given : Two types of FUEL Price f(x), in dollars, of fuel A after x months is represented by the f(x) = 2.15 (0.98)ˣ & type B Data m (number of months) 1 2 3 4 g(m) (price in dollars) 4.19 3.98 3.78 3.59 To FIND : Is the price of fuel A increasing or decreasing and by what percentage PER month? Which type of fuel RECORDED a greater percentage change in price over the previous month Solution: Fuel A f(x) = 2.15 (0.98)ˣ => Months Price Change % 0 2.15 (0.98)⁰ = 2.15 1 2.15 (0.98)¹ = 2.15 * 0.98 = - 2% 2 2.15 (0.98)²= 2.15 * 0.98² = - 2% 3 2.15 (0.98)³= 2.15 * 0.98³ = - 2% 4 2.15 (0.98)⁴= 2.15 * 0.98⁴ = - 2% price of fuel A is decreasing by 2 % price of fuel A is decreasing and by 2% per month Fuel B Months Price Change % 1 4.19 2 3.98 ≈ -5 % 3 3.78 ≈ -5 % 4 3.59 ≈ -5 % 5 % > 2 % Fuel type B recorded a greater percentage change in price over the previous month Learn More: The price of fuel may increase due to demand and DECREASE due to ... The graph of f (x) = RootIndex 3 StartRoot x + 8 EndRoot is shown ... The price of fuel may increase due to demand and due to ... |
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