Fill in the blanks!

A store charges 6% sales tax. The total cost of an item with price p is p+0.06p. What is an equivalent expression?
p = 10
p + 0.06p
10 + 0.06 (10)
10 + _
10.6

1.06p
1.06 (_)
_

So, the expressions are _.

1 answer

Let's break it down step by step:

  1. The total cost of an item with price \( p \) after including a 6% sales tax can be expressed as: \[ p + 0.06p = 1.06p \]

  2. When \( p = 10 \): \[ p + 0.06p = 10 + 0.06(10) = 10 + 0.6 = 10.6 \]

So, we can fill in the blanks as follows:

  • \( 1.06p \)
  • \( 1.06(10) \)
  • \( 10.6 \)

Thus, the complete expressions are:

  1. \( 1.06p \)
  2. \( 1.06(10) \)
  3. \( 10.6 \)

So, the expressions are 1.06p, 1.06(10), 10.6.