Question

Terrance earns an average biweekly net pay of $1896. Which compound inequality correctly shows the amount of money he can spend if his monthly budget for food is between 10% and 20%?

Answer 1

The compound inequality for this range would be 410.4 ≤ Food budget ≤ 820.8.

Terrance's biweekly net pay can help us determine his monthly income since there are 26 biweekly periods in a year.

His biweekly net pay: $1896

His monthly net pay: $1896 * 26 biweekly periods / 12 months

Let's calculate Terrance's monthly net pay:

Monthly net pay=1896×
`(26)/(12)` =4104

Now, to find the range for his food budget between 10% and 20% of his monthly net pay:

Lower bound of food budget (10% of monthly net pay):

0.10×4104=410.4

Upper bound of food budget (20% of monthly net pay):

0.20×4104=820.8

So, Terrance's food budget should fall between $410.4 and $820.8 per month.

The compound inequality for this range would be:

410.4≤Food budget≤820.8