Final answer:
Rosa makes a profit of $75 per day from mowing 15 lawns after accounting for her total costs of $300, which includes a fixed cost of $60. The profit is calculated by subtracting the total costs from the total revenue ($375) generated by mowing lawns.
Step-by-step explanation:
The subject of the question involves determining the productivity rate based on a given function and calculating fixed and variable costs associated with a service business. Rosa's cost structure includes a fixed daily cost and a variable cost based on the number of lawns she mows. To find the profit, we need to calculate the total revenue earned from mowing lawns and subtract Rosa's total costs.
To find Rosa's profit after mowing 15 lawns, we first calculate her total revenue by multiplying the number of lawns (15) by the price charged per lawn ($25).
Total Revenue = 15 lawns x $25/lawn = $375
Next, we identify Rosa's total costs, which include a fixed cost and variable costs associated with the actual lawn mowing. In this case, the fixed cost is $60, and the remaining $240 ($300 total cost - $60 fixed cost) is the variable cost.
Therefore, Rosa's Profit = Total Revenue - Total Costs = $375 - $300 = $75
Rosa earns a profit of $75 per day after mowing 15 lawns. This exercise exemplifies how linear equations are used in real-world scenarios to calculate revenue, costs, and profits in business operations.