Question

The equation below shows the perimeter f(x) of several rectangular pieces of cardboard having width x inches:

f(x) = 52 + 2x

The perimeter of each piece is less than 100 inches. Which of the following best describes the domain of f(x)?

a) all real numbers greater than 0 and less than 100
b)all real numbers greater than 0 and less than 24
c)all integers greater than 0 and less than 100
d)all integers greater than 0 and less than 24

Answer 1

Your idea?

Answer 2

i dont have an idea ..

Answer 3

What is the perimeter formula of a rectangular in general?

Answer 4

l x h x w

Answer 5

nope, 2(l+w)

Answer 6

ok?

Answer 7

ok

Answer 8

hence, your f(x) = 52 + 2x = 2( 26 + x) ok?

Answer 9

ok

Answer 10

so, just let it < 100 , solve for x, dat sit

Answer 11

just solve one to the right , I mean 52 + 2x < 100 for x
and x is the width of rectangular, it must be >0, and 26 is the length of the rectangular and it is an integer, that forces x must be an integer also.

Answer 12

so would it be c or d?

Answer 13

c