Answer:
A. The Long family paid $2.63 too little for their purchases.
Explanation:
We have been given that the Long family spent $38.62 for school supplies and $215.78 for new school clothes. They paid 6.8% sales tax on their purchases.
First of all, we will add both amounts as:
![\$38.62+$215.78=\$254.40](https://img.qammunity.org/2021/formulas/mathematics/high-school/mh0r4snijlrwjfzhxdqcrlvw6srxoq0gq2.png)
Now, we will find 6.8% of 254.40.
![\text{Amount of tax paid}=\$254.40* (6.8)/(100)](https://img.qammunity.org/2021/formulas/mathematics/high-school/cro3co228f7mt4ogzypopla1olqdq67wkf.png)
![\text{Amount of tax paid}=\$254.40*0.068](https://img.qammunity.org/2021/formulas/mathematics/high-school/opcp8wnuzv5ohgol0tzfe7uzeaobitvoyx.png)
![\text{Amount of tax paid}=\$17.2992](https://img.qammunity.org/2021/formulas/mathematics/high-school/3vn0qdavygw3374n0yv7w3pfzbu56un0pn.png)
Upon adding $254.40 and $17.2992, we will get total amount paid by Long family.
![\text{Total amount paid by Long family}=\$254.40+\$17.2992](https://img.qammunity.org/2021/formulas/mathematics/high-school/20j5a7jc3n9206p26wvpdgp7rn9q7mzn35.png)
![\text{Total amount paid by Long family}=\$271.6992](https://img.qammunity.org/2021/formulas/mathematics/high-school/i0u981j66x3k6mlc4qzzzndvqm770sd5ht.png)
Now, we will subtract $271.6992 from $269.07:
![\$269.07-\$271.6992](https://img.qammunity.org/2021/formulas/mathematics/high-school/m0hsh2p52j4ypmeyue77bua8kgn4omos40.png)
![-\$2.6292\approx -\$2.63](https://img.qammunity.org/2021/formulas/mathematics/high-school/yrien0y2lgxwx4zwpxq7bmldruo4p6f7ho.png)
Since the long family paid $2.63 less than actual amount, therefore, the Long family paid $2.63 too little for their purchases and option A is the correct choice.