Answer: Yes, Its range is At least 4.75% and at most 13.1%
Step-by-step explanation:
Let x represents rate of consume paid by consumer,
Then According to the question,
The maximum rate a consumer can pay for local sales tax is 8.35%
Since, the minimum tax rate can be 0,
⇒ 0 ≤ x ≤ 8.35
⇒ 0 + 4.75 ≤ x + 4.75 ≤ 8.35 + 4.75
⇒ 4.75 ≤ x + 4.75 ≤ 13.1
Where, 4.75 is the sales tax,
Since, total tax = consumer tax + sales tax,
Hence, x + 4.75 represents the total tax paid by consumer,
⇒ 4.75 ≤ Total tax ≤ 13.1
⇒ The range of of possible sales tax rates that a consumer could pay on a taxable item in the state of Utah can be at least 4.75 % and can be at most 13.1 %
