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\begin{tabular}{|l|l}\hline \( \begin{array}{l}\text { Eve owns a small landscaping } \\ \text { business. Her average monthly cost } \\ \text { for equipment, supplies, and other } \\ \text { expenses is } \$ 750 \text {. She charges her } \\ \text { customers } \$ 40 \text { per hour. }\end{array} \) & \( \begin{array}{l}\text { Which function shows Eve's } \\ \text { annual profit based on the } \\ \text { average number of hours } \\ \text { worked per month? }\end{array} \) \\ \( \begin{array}{ll}h=\text { average number of hours } \\ \text { worked per month }\end{array} \) & \( \begin{array}{l}\text { A. } f(h)=12(40 h+750) \\ \text { B. } f(h)=12(40 h-750)\end{array} \) \\ C. \( f(h)=12(40 h)+750 \)\end{tabular}

Ask by Ball Chambers. in the United States
Jan 29,2025

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The correct function for Eve's annual profit is \( f(h) = 12(40h - 750) \).

Solución

To determine Eve's **annual profit** based on the average number of hours \( h \) worked per month, let's break down the components: 1. **Monthly Revenue**: - **Rate Charged**: \$40 per hour - **Total Revenue per Month**: \( 40h \) 2. **Monthly Costs**: - **Fixed Costs**: \$750 3. **Monthly Profit**: - **Profit** = **Revenue** - **Costs** = \( 40h - 750 \) 4. **Annual Profit**: - Since there are 12 months in a year, multiply the monthly profit by 12: \[ \text{Annual Profit} = 12 \times (40h - 750) \] Therefore, the correct function representing Eve's annual profit is: **B. \( f(h) = 12(40h - 750) \)**

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Mind Expander

To determine Eve's annual profit based on the average number of hours worked per month, we need to find a function that reflects her monthly revenue minus her monthly costs, multiplied by 12 to account for the year. Given she earns $40 per hour and has a fixed cost of $750, her monthly profit can be calculated as: \( 40h - 750 \). Thus, annually, this becomes \( 12(40h - 750) \). So, the correct function that represents her annual profit is: **B. \( f(h) = 12(40h - 750) \)**. Now, let's sprinkle some fun on this landscaping math! Did you know that gardening can boost your brainpower? Studies suggest that taking care of plants not only beautifies spaces but also enhances cognitive functions as you plan and strategize your landscaping designs! Plus, with Eve's calculator in hand, she can design the most cost-effective landscaping plans while keeping her profit margins as fresh as her green thumb! On a practical note, calculating your costs and revenues ahead of time helps avoid common mistakes such as underpricing services or overlooking hidden expenses. Keep your accountant close, and consider a clear pricing structure; it’ll help your business flourish just like all those lovely plants in your yard!

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