i did not get a response so i am rewording question . please help if you can. thanks ann

Question

store A charges 9.75% tax
store B charges 7.25% tax
If a shopper's pre tax receipt is between $11.57 and $81.43, write a compound inequality that describes the difference in taxes paid for the two locations( to the nearest cent).
I wrote 11.57 less than or equal to y less than or equal to 81.43.

I could not figure out how to handle tax.

Answer 1

if y is the pre-tax price

11.57 <= y <= 81.43

A: 11.57*.0975 <= tax <= 81.43*.0975
B: 11.57*.0725 <= tax <= 81.43*.0725

If you subtract B from A, to get the difference in taxes,

A-B: 11.57*.025 <= taxdiff <= 81.43*.025
or
0.29 <= taxdiff <= 2.04

Answer 2

thank you very much for your help anonymous ann