anonymous
  • anonymous
(FAN AND MEDAL)
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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) = 72(1.25)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) 65 84.5 109.85 142.81 Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
anonymous
  • anonymous
Part I: You know that this function is DECREASING because 0.63, the number inside of the parenthesis, is LESS THAN THE NUMBER 1. I [think I] know the way to determine by what percentage it is decreasing. [I think] My teacher taught me that I have to subtract the number, in this case 0.63, from 1. So, 1 - 0.63 = 0.37. So it is decreasing by 0.37
anonymous
  • anonymous
they are all changing by the same percentage: 43% less. And you can prove it by dividing year 2 to year 1 and dividing year 3 to year 2. Sorry for the inaccurate answer

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anonymous
  • anonymous
@chrisga
anonymous
  • anonymous
@campbell_st please help me! here nobody wanna help me! please help me
campbell_st
  • campbell_st
the function f(x) is like the compound interest formula it could be written as \[f(x) = 72 \times (1 + \frac{25}{100})^x\] the compound interest formula is \[A = P \times (1 + \frac{r}{100})^n\] where r is the growth rate as a percentage so when you compare it to your eqquation what do you think the growth rate r is..?
anonymous
  • anonymous
i need to solve that ?
anonymous
  • anonymous
90?
campbell_st
  • campbell_st
so for part A you can write (1.25) as (1 + 0.25) the + inside the brackets indicates its increasing and the amount of the increase is 0.25 written as a percentage
anonymous
  • anonymous
so the answer for part A: ITS the + inside the brackets indicates its increasing and the amount of the increase is 0.25 written as a percentage
anonymous
  • anonymous
?
anonymous
  • anonymous
and for part B?
campbell_st
  • campbell_st
part B find use the 1st 2 values \[%~increase = \frac{84.5 - 65}{65} \times 100\] then decide which percentage increase is greater... Product A (25%) or product B
campbell_st
  • campbell_st
the formula is \[increase = \frac{84.5 - 65}{65} \times 100\]
anonymous
  • anonymous
-15.5?
campbell_st
  • campbell_st
well it should be a positive \[increase = \frac{19.5}{65} \times 100\]
anonymous
  • anonymous
30?
campbell_st
  • campbell_st
that makes sense so whch has the larger increase product A (25%) or product b (30%)
anonymous
  • anonymous
product b?
campbell_st
  • campbell_st
yes jobe done
anonymous
  • anonymous
so the answer for part B: ITS: PRODUCT B HAS THE LARGER INCREASE?
anonymous
  • anonymous
right?
campbell_st
  • campbell_st
correct
anonymous
  • anonymous
thank you so much!!!! can you help me with 2 more or one more please!!!
campbell_st
  • campbell_st
sorry I can't I'm in Australia and about to go to class
anonymous
  • anonymous
alright its fine, thanks again!

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