Question

Minglei has a farmstand at a farmers market selling three items: popcorn for $3 a bag, pita chips for $5 a bag, and hummus for $6 a container. Minglei makes $270 from one day of sales. If x is the number of bags of popcorn, y is the number of bags of pita chips, and is the number of containers of hummus, which of the following best models the revenue equation for Minglei?

Answer 1

To model the revenue equation for Minglei's sales, we can express the total revenue based on the number of each item sold.

1. Popcorn: $3 per bag, so the revenue from popcorn is \( 3x \).
2. Pita chips: $5 per bag, so the revenue from pita chips is \( 5y \).
3. Hummus: $6 per container, so the revenue from hummus is \( 6z \).

The total revenue from all three items sold can be expressed as:

\[ 3x + 5y + 6z = 270 \]

where:

• \( x \) is the number of bags of popcorn sold,
• \( y \) is the number of bags of pita chips sold,
• \( z \) is the number of containers of hummus sold.

Thus, the revenue equation that best models Minglei’s sales is:

\[ 3x + 5y + 6z = 270 \]