Question

(FAN AND MEDAL)

Answer 1

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)

Answer 2

@jim_thompson5910 ???

Answer 3

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

Answer 4

INCREASING/?

Answer 5

@Kash_TheSmartGuy ???

Answer 6

@jim_thompson5910 ???can you help me? please

Answer 7

i really need help,guyss

Answer 8

Your increasing because when you multiply 2 positive numbers you increase

Answer 9

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

Answer 10

@Michele_Laino @Vocaloid ???

Answer 11

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 = ?

Answer 12

i dont know, :(

Answer 13

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

r = ?

Answer 14

90?

Answer 15

look at the underlined parts

can you tell me what r = ?

Answer 16

1.25?

Answer 17

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?

Answer 18

increasing?

Answer 19

right, increasing

now we need to find the percentage

if r = 1.25 = 1 + (percentage/100), what is our percentage?