Question

  

Multiple Choice Question

Terrance used this expression to find the final price, in dollars, of a hat that is discounted 30% off the original price of $20.

20−(20×0.3)

Which of the following is an equivalent expression?

A. 

20−0.7

B. 

0.3(20)

C. 

20−0.3

D. 

0.7(20)

Answer 1

To find an equivalent expression to \(20 - (20 \times 0.3)\), we first need to simplify the original expression:

1. Calculate \(20 \times 0.3\):
\[
20 \times 0.3 = 6
\]

2. Substitute this back into the original expression:
\[
20 - (20 \times 0.3) = 20 - 6 = 14
\]

Now, let's check which of the given options simplifies to an equivalent expression:

A. \(20 - 0.7\)
- This simplifies to \(20 - 0.7 = 19.3\) (not equivalent)

B. \(0.3(20)\)
- This simplifies to \(0.3 \times 20 = 6\) (not equivalent)

C. \(20 - 0.3\)
- This simplifies to \(20 - 0.3 = 19.7\) (not equivalent)

D. \(0.7(20)\)
- This simplifies to \(0.7 \times 20 = 14\) (equivalent)

So the correct answer is:

**D. \(0.7(20)\)**