Question

problems 4-5: in burlington, all city departments get an annual budget. they are allowed to spend 1.5% over their budget. if they spend more than that, the mayor conducts a review.

1. the department of health has a budget of $90,000. what is the largest acceptable amount for their spending? show or explain your thinking.
2. the department of parks and recreation has a budget of $30,000, and they spent $31,000. will the mayor conduct a review of their spending? show or explain your thinking.

Explanation:

Step1: Calculate 1.5% of $90,000

$1.5\% \times 90000 = 0.015 \times 90000 = 1350$

Step2: Find max acceptable spending

$90000 + 1350 = 91350$

Step3: Calculate 1.5% of $30,000

$1.5\% \times 30000 = 0.015 \times 30000 = 450$

Step4: Find threshold for review

$30000 + 450 = 30450$

Step5: Compare actual vs threshold

$31000 > 30450$

Answer:

1. The largest acceptable amount for the Department of Health's spending is $\$91,350$.
2. Yes, the mayor will conduct a review of the Department of Parks and Recreation's spending, since their actual spending ($\$31,000$) exceeds the 1.5% over-budget threshold of $\$30,450$.