Shannon's mom told her that she can spend at most $175 for party decorations and food for her birthday party. Shannon spent $62.29 on decorations.

Question

If represents the amount that Shannon spends on food for her birthday party, which inequality correctly represents this situation?
Responses

A x minus 62 point 2 9 is less than or equal to 175

B 62 point 2 9 plus x is less than or equal to 175

C 62 point 2 9 plus x is less than 175

D 62 point 2 9 plus x is greater than or equal to 175

Answer 1

To represent the situation with an inequality, we need to consider that Shannon's total spending on decorations and food cannot exceed $175.

Let \( x \) be the amount Shannon spends on food. She spent $62.29 on decorations, so the total amount she spends on both decorations and food is \( 62.29 + x \).

The inequality that correctly represents the situation is that the total spending must be less than or equal to $175. Therefore, the correct inequality is:

\[ 62.29 + x \leq 175 \]

So, the correct response is:

B \( 62.29 + x \leq 175 \)