Ayudar?
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The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price of two products, A and B, over time. The price f(x), in dollars, of product A after x years is represented by the function below. f(x) = 10250(0.63)x Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points) Part B: The table below shows the price f(t), in dollars, of product B after t years: t (number of years) 1 2 3 4 f(t) (price in dollars) 4300 1849 795.07 341.88 Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
\(\Huge\color{cyan}{I~Already~Have~Part~A~Done.}\)
@ParthKohli help plz?
Do you know the formula for this ? :)
no...
\[\frac{ (old - new) }{ old }\]
whats old and new?
old would be the price 1 and new would be price 2
\[\frac{ (4300-1849) }{ 4300 }\] Thats our first equation
4300 * k =1849 k=1849/4300 = 0.43 there fore 1-0.43 = 0.57 = 57% drop
k is telling us what percentage of 4300 we have to get 1849. if we have k percentage left that means we lost 100%-k%
The answer of the first equation i gave you is .57 . So the percent increase between price 1 and 2 is 57%
Therefore part B recording greater drops as it is 57% and... Since Part A is only recording 1-0.63=0.37, 37% drop
Sorry not percent increase the change in percent
whoa whoa whoa a bit too fast
so whats the percent increase for part A to B?
Now we find the percent difference between price 2 and 3
\[\frac{ (1849-795.07) }{ 1849}\]
There is also a 57 percent difference between price 2 and 3
so its more than price 1 to 2?
Now the last one the price difference between price 3 and 4
Well actually its the same the 1-2 ans 2-3 are both 57%
oh ok so its probably 3 to 4 with the greatest right?
\[\frac{ (795.07-341.88) }{ 795.07 }\]
Yeah The difference is 92%
wow o_o
Thank You!
No problem ! You even have the work to prove your answer ! :)
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