(FAN AND MEDAL)

- anonymous

(FAN AND MEDAL)

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- schrodinger

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- 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

@jim_thompson5910 ???

- Kash_TheSmartGuy

About A. If you're multiplying two positive numbers, what do you think you're doing- increasing or decreasing?

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## More answers

- anonymous

INCREASING/?

- anonymous

@Kash_TheSmartGuy ???

- anonymous

@jim_thompson5910 ???can you help me? please

- anonymous

i really need help,guyss

- ali2x2

Your increasing because when you multiply 2 positive numbers you increase

- ali2x2

|dw:1437183261078:dw|

- ali2x2

You increased when multiplying 2x2. Mai name is the answar

- anonymous

@Michele_Laino @Vocaloid ???

- Vocaloid

the general form of a growth/decay exponential function is
f(x) = a(r)^x
our function is
f(x) = 72(1.25)^x
can you tell me what r = ?

- anonymous

i dont know, :(

- Vocaloid

f(x) = a(r)^x
f(x) = 72(1.25)^x
r = ?

- anonymous

90?

- Vocaloid

|dw:1437183987216:dw|

- Vocaloid

|dw:1437184021635:dw|

- Vocaloid

look at the underlined parts
can you tell me what r = ?

- anonymous

1.25?

- Vocaloid

right, r = 1.25
the value of r tells us whether the function is increasing or decreasing
if r > 1, our function is increasing
if r < 1, our function is decreasing
is our function increasing or decreasing?

- anonymous

increasing?

- Vocaloid

right, increasing
now we need to find the percentage
if r = 1.25 = 1 + (percentage/100), what is our percentage?

- anonymous

|dw:1437184167487:dw|

- anonymous

r = 1.25 = 1? @Vocaloid

- anonymous

i dont know @Vocaloid :(

- anonymous

|dw:1437184385353:dw|

- Vocaloid

not quite, perhaps we work it out a bit differently
1.25 = 1 + __
fill in the blank

- anonymous

this its what i get 1.25

- Vocaloid

not quite
what number do I have to add to 1 to get 1.25?

- anonymous

|dw:1437184481903:dw|

- anonymous

|dw:1437184579597:dw|

- anonymous

72(1.25)? sorry but im not good at math @Vocaloid :(

- anonymous

wat

- Vocaloid

1.25 - 1 = ?

- anonymous

0.25?

- Vocaloid

right, 0.25 is the number I was trying to get at earlier, haha
0.25 (which is also equal to 25%) represents the percent increase per year

- Vocaloid

so we're finished with part A, ready to move to part B?

- anonymous

so wait the answer for part A? its

- anonymous

0.25 (which is also equal to 25%) represents the percent increase per year?

- Vocaloid

please read what part A is asking and review what we have done so far

- Vocaloid

"Part A: is the price of product A increasing or decreasing and by what percentage per year?"

- anonymous

increasing? right?

- Vocaloid

right, and what percentage?

- anonymous

25%? right?

- Vocaloid

right
now are you ready to move to part B?

- anonymous

yes

- Vocaloid

alright, to find the percent increase for part B, we need to calculate the ratio
f(2)/f(1)
looking at the table, we know that
f(2) = 84.5
f(1) = 64
f(2)/f(1) = ?

- anonymous

its 2?

- anonymous

o no wait

- anonymous

o yes its 2? right?

- Vocaloid

|dw:1437185687149:dw|
try one more time

- anonymous

its 1.32?

- Vocaloid

oh, whoops, typo on my part
|dw:1437185910222:dw|

- Vocaloid

can you try again, using 65 instead of 64?

- anonymous

65/64? thats what u say?

- Vocaloid

that's not what I meant, please look at this diagram
|dw:1437186028756:dw|

- anonymous

1.3? :/

- Vocaloid

right!
this gives our r value, 1.3
so, r = 1.3
now we need to find the percent increase
1.3 = 1 + (increase)
what is the value of (increase)?

- anonymous

its 0.3?

- Vocaloid

yes! so, our increase is 0.3, which is the same as 30%

- anonymous

its that a question?

- Vocaloid

we need it to solve the last question

- Vocaloid

we found the percent increase for product A and product B, now tell me which one is bigger

- anonymous

1.3? right? @Vocaloid ?

- Vocaloid

right

- anonymous

so whats nexts?

- Vocaloid

which product had the bigger increase? A or B?

- anonymous

A?

- Vocaloid

please read over what we did carefully...

- Vocaloid

also, please read the problem again

- anonymous

O sorry my bad

- anonymous

its B SORRY

- Vocaloid

right

- anonymous

SO we done?

- Vocaloid

yes

- anonymous

for make sure i writte correct the answer its:

- anonymous

Part A: the price of product is increasing 25%Part
Part B: 1.3

- anonymous

i writte correct

- Vocaloid

... please read what part B is asking

- Vocaloid

"Part B: Which product recorded a greater percent change in price over the previous year?"

- anonymous

B? 0.3? :/

- Vocaloid

it's asking which product (product A or product B) had the greater percent change

- anonymous

ITS product B? RIGHT

- Vocaloid

right

- anonymous

SO thats the answer for part B

- Vocaloid

right

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