Question

question 15 (multiple choice worth 1 points)
(budgeting mc)

a dog walking business earns an average yearly revenue of $165,750. which compound inequality correctly shows the amount of money, \\(t\\), the business needs each month to pay employees if the monthly budget for employee wages is between 32% and 35%?

\\(\bigcirc\\) \\(\\$1,020.00 \le t \le \\$1,115.63\\)
\\(\bigcirc\\) \\(\\$2,040.00 \le t \le \\$2,231.25\\)
\\(\bigcirc\\) \\(\\$4,080.00 \le t \le \\$4,462.50\\)
\\(\bigcirc\\) \\(\\$4,420.00 \le t \le \\$4,834.38\\)

Explanation:

Calculate monthly revenue

$$ M = \frac{\$165,750}{12} = \$13,812.50 $$

Calculate lower bound of budget

$$ t_{\text{min}} = 0.32 \times \$13,812.50 = \$4,420.00 $$

Calculate upper bound of budget

$$ t_{\text{max}} = 0.35 \times \$13,812.50 = \$4,834.375 \approx \$4,834.38 $$

Answer:

• (A) \(\$1,020.00 \le t \le \$1,115.63\)
• (B) \(\$2,040.00 \le t \le \$2,231.25\)
• (C) \(\$4,080.00 \le t \le \$4,4,62.50\)
• (D) \(\$4,420.00 \le t \le \$4,834.38\) (Correct answer)