Question

Two plumbing companies charge the rates shown in the table. Find how long the plumbing companies would need to work for Pipeline charges to be greater than Down the Drain

Company Hourly Rate - Fixed Charge for Visit
Pipeline $32.50 $25.00 - Down the Drain $22.50 $50.00.

a) 5 hours
b) 6 hours
c) 7 hours
d) 8 hours

Answer 1

The correct answer is (d) 8 hours.

Step-by-step explanation:

To find how long the plumbing companies would need to work for Pipeline charges to be greater than Down the Drain, we need to compare the costs for each company. Pipeline charges $32.50 per hour with a fixed charge of $25.00 per visit, while Down the Drain charges $22.50 per hour with a fixed charge of $50.00 per visit.

The equation to compare the two companies is: (Pipeline Hourly Rate x Hours) + Pipeline Fixed Charge > (Down the Drain Hourly Rate x Hours) + Down the Drain Fixed Charge.

Simplifying the equation, we have: 32.50x + 25 > 22.50x + 50. To solve for x, we can subtract 22.50x from both sides and subtract 25 from both sides, which gives us 10x > 25. Substituting x with the given options, we find that the correct answer is (d) 8 hours.