Laura is the fund-raising manager for a local charity. she is ordering caps for an upcoming charity walk. the company that makes the caps charges $6 per cap plus a $25 shipping fee. laura has a budget of $1,000. what is the greatest number of caps she can buy?

Let number of caps =x

charge of one cap =$6

charge of x caps =6x

shipping fee =$25

total budget =$1000

let us make an inequality equation here,

Since amount cannot be greater than 1000 , so

25+6x ≤1000

6x≤975

x≤162.5

rounding off ,

x≤163

So she can buy maximum 163 caps

a negative exponent is translated as follows:

so, we have