Question

The state of Utah has a sales tax of 4.75% and the maximum rate a consumer can pay for local sales tax is 8.35%. What is the range of possible sales tax rates that a consumer could pay on a taxable item in the state of Utah? At least 4.75% and at most 13.1% (Apex answer)

Answer 1

At least 4.75% and at most 13.1%

Explanation:

Apex

Answer 2

Answer: Yes, Its range is At least 4.75% and at most 13.1%

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 %