Question

A floral shop earns an average yearly revenue of $195,280. Which compound inequality correctly shows the amount of money, m, the floral shop needs each month to pay for supplies if the monthly budget for supplies is between 35% and 40%?

Answer 1

The compound inequality representing the monthly budget for supplies, given the yearly revenue, is found by calculating 35% and 40% of the average monthly revenue derived from the yearly revenue. It results in $5,695.67 ≤ m ≤ $6,509.33.

Step-by-step explanation:

To determine the compound inequality representing the amount of money, m, the floral shop needs each month to pay for supplies, we first need to calculate what 35% and 40% of the average yearly revenue is on a monthly basis. Given the average yearly revenue of $195,280, we can calculate:

Monthly Revenue = Yearly Revenue / 12 months

Monthly Revenue = $195,280 / 12

Monthly Revenue = $16,273.33

Next, we calculate 35% and 40% of the monthly revenue:

35% of Monthly Revenue = 0.35 × $16,273.33

35% of Monthly Revenue = $5,695.67

40% of Monthly Revenue = 0.40 × $16,273.33

40% of Monthly Revenue = $6,509.33

Therefore, the compound inequality to represent the monthly budget for supplies, m, is:

$5,695.67 ≤ m ≤ $6,509.33

Answer 2

The compound inequality that represents the monthly supply budget, m, for the floral shop based on an average yearly revenue of $195,280 is $5,695.66 ≤ m ≤ $6,509.33.

Step-by-step explanation:

To calculate the monthly budget for supplies that the floral shop needs, we need to consider the total annual revenue and find the monthly revenue by dividing this annual amount by 12. The total average yearly revenue is $195,280, so the average monthly revenue would be $195,280 / 12, which equals $16,273.33.

Now, to find the bounds of the monthly supply budget using the given percentages, we multiply the monthly revenue by 35% and 40%:

Upper bound (40%): 0.40 x $16,273.33 ≈ $6,509.33

So, the compound inequality that represents the monthly supply budget, m, would be: $5,695.66 ≤ m ≤ $6,509.33.