Alandscaper 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?

18 workers  should the landscaper bring to the job  to finish a set of plants in 4 hours.

Step-by-step explanation:

As given

Assuming that  a set of plants can be installed in number of hours inversely related to the number of workers.

Let us assume that the number of hours needed for set up a plant be x.

Let us assume that the number of worker needed for setup a plant be y.

Thus

Where k is the constant of proportionality.

As given

A landscaper estimates that a set of plants can be installed in 6 hours by 12 workers.

x = 6 , y = 12

Thus

k = 72

As given

The landscaper wants to finish a set of plants in 4 hours.

x = 4 , k = 72

Thus

y = 18

Therefore 18 workers  should the landscaper bring to the job  to finish a set of plants in 4 hours.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

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