Problema Solution
In one town a department store charges 9.75% tax. In another town, a department store charges 7.25% tax. If a shopper's pr-tax receipt is between $111.57 and $81.43, write and graph a compound inequality that describes the difference in taxes paid for the two locations.
Answer provided by our tutors
Let x be the cost.
We know that pre-tax receipt is between $81.43 and $111.57:
81.43 ≤ x ≤ 111.57
Let y be the difference in taxes then:
81.43*(9.75/100 - 7.25/100) ≤ y ≤ 111.57*(9.75/100 - 7.25/100)
81.43*(0.0975 - 0.0725) ≤ y ≤ 111.57*(0.0975 - 0.0725)
81.43*0.0250 ≤ y ≤ 111.57*0.0250
2.03575 ≤ y ≤ 2.78925
The compound inequality of difference in taxes is:
2.03575 ≤ y ≤ 2.78925
To the nearest cent:
2.04 ≤ y ≤ 2.79
