The price of fuel may increase due to demand and decrease due to overproduction. Emily 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) = 2.96(1.04)x
Part 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 4
g(m) (price in dollars) 3.04 3.22 3.41 3.61
Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer.
Answers
Answer: look at the image for the answer and solution
Step-by-step explanation:
The price of fuel A is increasing by 4% per month. the fuel B recorded a greater percentage change in price over the previous month, with an average increase of about 6%.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per cent refers to one hundred percent.
Part A: From the coefficient of the term (1.04)^x in the function f(x) = 2.96(1.04)^x it can be seen that the price of fuel is increasing by 4% per month. 1.04, represents the increase in price each month and exponent, x represents the number of months. The coefficient of 2.96 represents the starting price.
And hence, the price of fuel A is increasing by 4% per month
Part B: To determine the percentage change in price between each month, we need to calculate the percentage increase or decrease from the previous month's price.
For fuel A, the percentage change in price each month is given by:
100 * (1.04 - 1) = 4%
For fuel B, we can calculate the percentage change in price for each month from the table:
Percentage change:
Between months 1 and 2: 100 * (3.22 - 3.04) / 3.04 = 6.58%
Between months 2 and 3: 100 * (3.41 - 3.22) / 3.22 = 5.19%
Between months 3 and 4: 100 * (3.61 - 3.41) / 3.41 = 6.50%
Therefore, the fuel B recorded a greater percentage change in price over the previous month, with an average increase of about 6%.
The price of fuel A is increasing by 4% per month. the fuel B recorded a greater percentage change in price over the previous month, with an average increase of about 6%.
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Step-by-step explanation:
Answer: 160m3
Step-by-step explanation:
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For the second prism, you do the same thing you did to the first one.
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WHO ANSWERS ASP AND CORRECT GETS A BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Step-by-step explanation:
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Answer: 12
Step-by-step explanation:
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Step-by-step explanation:
if we symbolize girls as g boys will be g+6;
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer Explanation:
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Answer:
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Answer:
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Picture attached
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Step-by-step explanation:
Hello. in order to solve this problem, I need to know the functions for R(x) and C(x). Please repost and I'll gladly help.
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
4(x + 6)
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Answer:
4x+24=
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
