A landscaper estimates that a set of plants can be installed in 6 hours by 12 workers. The landscaper wants to finish a set of plants in 4 hours. Assuming that the variables are inversely related, how many workers should the landscaper bring to the job? 8

Answer: option d is the correct answer.Step-by-step explanation:The landscaper estimates that a set of plants can be installed in 6 hours by 12 workers. Let h represent the number of hours and let w represent the number of workers. Assuming that the variables are inversely related, introducing a constant of variation, k, the expression becomesh = k/wSubstituting h = 6 and w = 12 into the expression, it becomes6 = k/12k = 12 × 6 = 72The expression becomesh = 72/wIf the landscaper wants to finish a set of plants in 4 hours, the number of workers that he needs to bring to the job would be 4 = 72/ww = 72/4 = 18