Question

HELP PLEASE
a wedding coordinator estimates that Ramirez's wedding will cost approximately $18,000. The wedding coordinator has to stay within $1,500 of the estimated amount.
Write the absolute value inequality to show the cost boundaries of the Ramirez's wedding.

Answer 1

@zepdrix

Answer 2

@jennyrlz

Answer 3

So he has estimated 18000.
To be within 1500 of that budget means he can spend `as much as` 18000 + 1500.

Answer 4

Do you understand how to find the lower value?

Answer 5

guess so..

Answer 6

@zepdrix

Answer 7

how do u so the inequality

Answer 8

what is the lower amount?

Answer 9

or how do use the words to do it

Answer 10

i guess 1,500

Answer 11

no

Answer 12

He can be within 1500 of 18000.
So that means he can spend `as much as` 18000 + 1500
and `as little as` _____________?

Answer 13

it doesnt say that
maybe its x

Answer 14

sigh..

Answer 15

is x \[\le\] 18000+1500

Answer 16

If x is the cost of the wedding,
then yes, x has to be less than that amount.

That only takes care of half of the inequality though.

That's the maximum he can spend.
You need to figure out what the minimum amount is before we can write it as an absolute value.

Answer 17

whatever i wrote up there is what my book or hw says

Answer 18

@mathway @mathmate

Answer 19

@jennyrlz

Answer 20

@shreenithaa
Suppose you wanted me to get a bag of chips from the corner store.
I asked you how much it would cost. You said between $1.50 and $2.50.
ok so far?

Answer 21

Guess you're not online. I'll continue anyway.
This means that the cost is approximately $2.00, plus or minus $0.50.
It's because $2.00+0.50 = $2.50, and $2.00-0.50=$1.50.
Since you don't know exactly how much, you would give me $2.00 and know that I will either have $0.50 to spare, or I have to add $0.50 to buy the bag of chips.
Whether it's more or less than $2.00, you know that the \(difference\) won't exceed $0.50.

So you can write
If the bag of chip costs x, then |x-$2.00| < $0.50.
because the "absolute value" function gives you a positive number whether x is more or less than $2.00.

You can apply the same idea to the wedding problem.