1. Let T(p = 0.06p be a function that calculates sales tax. Explain the meaning of T($12) = $0.72.
Mathematics · Middle School · Thu Feb 04 2021
Answered on
The function T(p) = 0.06p is a mathematical representation of how to calculate sales tax based on the price of an item. The "p" in this equation stands for the price before tax, and the constant "0.06" represents the sales tax rate, which is 6% in this case.
When you see T($12) = $0.72, this is showing you the calculation of sales tax for an item that costs $12 before tax. To find the amount of sales tax, you would plug in the value of the item, which is $12 in this case, into the function where "p" is.
So the calculation becomes:
T($12) = 0.06 * $12
Now, you multiply 0.06 (the tax rate) by $12 (the price before tax):
T($12) = $0.72
This means that the sales tax for an item priced at $12 is $0.72, so you would add $0.72 to the initial price to get the total cost of the item including sales tax.