Question

A social worker earns an average bi-weekly net pay of $1,465.87. Which compound inequality correctly shows the amount of money, m, the social worker can spend if the monthly budget for debt is between 5% and 10%? $73.29 ≤ m ≤ $146.59 $158.80 ≤ m ≤ $317.61 $146.59 ≤ m ≤ $293.17 $190.56 ≤ m ≤ $349.37

Answer 1

The amount of money the social worker can spend is $146.59 ≤ m ≤ $293.17

What is an equation?

An equation shows the relationship between two or more numbers and variables.

Let m represent the amount of money the social worker can spend.

A social worker earns an average bi-weekly net pay of $1,465.87. Hence:

Monthly revenue = 2 * $1465.87 = $2931.74

For a debt of 5%:

m = 5% of $2931.74 = 0.05 * $2931.74 = $146.59

For a debt of 10%:

m = 10% of $2931.74 = 0.1 * $2931.74 = $293.17

$146.59 ≤ m ≤ $293.17

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Answer 2

Answer:

$158.80 ≤ m ≤ $317.61

Step-by-step explanation:

Hello,

So first step is we would use the bi-weekly net pay of $1465.87 then times it by 26 so it would look like this

1465.87 × 26 = 38112.62

Then we would divide 38112.62 by 12

38112.62 ÷ 12 = 3176.0516

Then, we would determine how much the social worker can spend if the monthly budget for debt is between 5% and 10%.

3176.0516 × 5% = 158.80

3176.0516 × 10% = 317.61

So, therefore the answer is $158.80 ≤ m ≤ $317.61.