Question

Eva is deciding between two landscaping companies for her place of business. Company A charges 35 per hour and a300 equipment fee. Company B charges 45 per hour and a100 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. Write an equation for each situation, in terms of T, comma, and determine the number of hours, T, comma, that would make the cost of each company the same.

Answer 1

The cost for Company A is represented by AA = 35T + 300, and the cost for Company B is represented by BB = 45T + 100. The number of hours that would make the cost of each company the same is 20 hours.

Step-by-step explanation:

The cost for Company A, represented by AA, can be calculated using the equation AA = 35T + 300, where T is the number of hours of landscaping. The cost for Company B, represented by BB, can be calculated using the equation BB = 45T + 100. To find the number of hours, T, that would make the cost of each company the same, we can set the two equations equal to each other and solve for T. So, 35T + 300 = 45T + 100. Subtracting 35T and 100 from both sides, we get 200 = 10T. Dividing both sides by 10, we find that T = 20. Therefore, 20 hours of landscaping would make the cost of each company the same.