Question

Charlotte is deciding between two landscaping companies for her place of business. Company A charges $50 per hour and a $100 equipment fee. Company B charges $25 per hour and a $200 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Graph each function and determine which company would be cheaper if Charlotte needs 7 hours of landscaping.

Answer 1

To determine which landscaping company is cheaper for Charlotte, we can calculate the cost for both companies using the given rates and fees. By comparing the costs for 7 hours of landscaping, we can determine which company is cheaper.

To determine which company would be cheaper for Charlotte's landscaping needs, we need to calculate the cost for each company and compare them. Let's start with Company A. The total cost for Company A can be represented by the equation AA = 50t + 100, where t is the number of hours of landscaping. For Company B, the total cost can be represented by the equation BB = 25t + 200.

Now let's calculate the cost for 7 hours of landscaping. For Company A, AA = (50 * 7) + 100 = 450. And for Company B, BB = (25 * 7) + 200 = 375. So, Company B would be cheaper for Charlotte if she needs 7 hours of landscaping.

To graph the functions AA and BB, we can plot points for different values of t. For example, if we choose t = 0, the cost for Company A would be AA = 50(0) + 100 = 100, and the cost for Company B would be BB = 25(0) + 200 = 200. Similarly, we can calculate the costs for other values of t and plot the points on a graph.