Product A can be represented by the function f(x) = 0.69(1.03)x

product B
years : price in dollars
1 : 10,100
2 : 10,201
3 : 10,303.01
4 : 10,406.04

Which product recorded a greater percentage change in price over the previous year?

f(x) = 0.69 (1.03)^x

in other words TO THE POWER x

that would be 0.69 when x = 0 years, now

0.69 * 1.03 after one year

0.69 * 1.03 *1.03 after two years

0.69 *1.03*1.03*1.03 after 3 etc

It is getting bigger. Every year you increase by .03 x which is 3%

B

the ratio is for example

10406.04/10303.01

= 1.01

check:

10303.01/10201 = 1.01 sure enough

so that is increasing by ONLY ONE percent per year

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240