Kim purchased white vases, red vases, and flowers to create centerpieces for an event. The flowers cost a total of $349 and each vase cost $8. If w and r represent the number of white and red vases purchased, respectively, which of the following expressions represents the total cost of the centerpieces?

Question

I.
II.
III.
IV.
A.
I only
B.
I and III only
C.
I, II, and III only
D.
II and IV only

Answer 1

To find the total cost of the centerpieces, we need to consider both the cost of the vases and the flowers.

• Let \( w \) be the number of white vases purchased.
• Let \( r \) be the number of red vases purchased.
• The cost of each vase is $8.
• The total cost of the flowers is $349.

The cost of the white vases is \( 8w \) and the cost of the red vases is \( 8r \). Therefore, the total cost of the vases is:

\[ 8w + 8r \]

Now, including the cost of the flowers, the total cost of the centerpieces can be expressed as:

\[ \text{Total Cost} = \text{Cost of Vases} + \text{Cost of Flowers} = (8w + 8r) + 349 \]

Simplifying this, we have:

\[ \text{Total Cost} = 8w + 8r + 349 \]

Now, let's look at the expressions mentioned in the answer choices:

1. If there is an expression that represents \( 8(w + r) + 349 \), that is equivalent to \( 8w + 8r + 349 \).
2. Any expression that has the form \( 8w + 8r + 349 \) will also be equivalent.
3. Expressions that add $349 directly to the total cost of the vases will also be valid.

Without the specific expressions provided in the options, I cannot determine which are correct. However, ensure you check for total costs represented as \( 8w + 8r + 349 \) or any equivalent forms.

Based on standard formatting, if one of the choices matches our derived expression, then that will be the answer.

Please compare to the response choices to see if expressions are indeed \( 8w + 8r + 349 \) or appropriately equivalent forms of that expression to select the correct answer from A, B, C, or D.