Question

select all the expressions that represent \10% more than x.\
a 10 + x
b 0.10 + x
c 0.1x + x
d 0.1x + 10
e 1.1x
f x(1 + 0.1)

Explanation:

Step1: Understand "10% more than \( x \)"

10% of \( x \) is \( 0.1x \), so 10% more than \( x \) means \( x + 0.1x \).

Step2: Analyze each option

• Option A: \( 10 + x \) adds 10 (not 10% of \( x \)) to \( x \), incorrect.
• Option B: \( 0.10 + x \) adds 0.10 (a constant, not 10% of \( x \)) to \( x \), incorrect.
• Option C: \( 0.1x + x \) is \( x + 0.1x \), which is 10% more than \( x \), correct.
• Option D: \( 0.1x + 10 \) adds 10 (a constant) and 10% of \( x \), incorrect.
• Option E: \( 1.1x \) is equivalent to \( x + 0.1x \) (since \( 1.1x = x + 0.1x \)), correct.
• Option F: \( x(1 + 0.1) = x + 0.1x \) (by distributive property), correct.

Answer:

C. \( 0.1x + x \), E. \( 1.1x \), F. \( x(1 + 0.1) \)