Modeling with Systems of Linear Inequalities Answers

Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36 miles but not more than 90 miles. The system of inequalities represents the number of hours he can walk, w, and the number of hours he can run, r, to reach his goal.3w + 6r ≥ 363w + 6r ≤ 90

Irina wants to build a fence around a rectangular vegetable garden so that it has a width of at least 10 feet. She can use a maximum of 150 feet of fencing. The system of inequalities that models the possible lengths, l, and widths, w, of her garden is shown. w ≥ 102l + 2w ≤ 150

A city determines that a planned community must have at least 4 acres of developed and open space, and the difference between the number of developed acres, y, and the number of open acres, x, can be no more than 1. Which graph represents the system of inequalities for this scenario?x + y ≥ 4y – x ≤ 1

An arrangement for one container needs to have at least 4 flowers in it and the total wholesale cost must be less than $12. At wholesale, lilies cost $2 per flower and roses cost $3 per flower. If x is the number of lilies and y is the number of roses, which graph represents the system of inequalities for this scenario?