Question

A contractor needs to fence a rectangular backyard for a client. The length of the backyard should be at least 150 ft, and the distance around should be no more than 450 ft. Which system of inequalities and graph represents the possible dimensions of the backyard?

Answer 1

Answer:

Option: A is correct.

Step-by-step explanation:

Since we are given a information that:

A contractor needs to fence a rectangular backyard for a client.

(1) The length of the backyard should be at least(gretaer than or equal to)            

     150 ft.

     The length of the backyard is denoted by 'y' as in the graph.

  Hence according to statement (1) we have:

           y≥ 150

(2) The distance around should be no more than 450 ft.

This means that the  perimeter has to be less than or equal to 450 ft.

                 Hence, 2x+2y ≤ 450.

So such inequalitiies on graphing will give the graph same as in A option.

Hence option A is correct