Modeling with Systems of Linear Inequalities Answers
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
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
Kyle asks his friend Jane to guess his age and his grandmother’s age. Kyle says his grandmother is not more than 80 years old. He says his grandmother’s age is, at most, 3 years less than 3 times his own age.Jane writes this system of inequalities to represent k, Kyle’s age, and g, Kyle’s grandmother’s age.Inequality 1: g > 80 Inequality 2: g ≤ 3k – 3
A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day. If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pies and tarts the baker can make?
Which statements must be true about their heights? Select three options.
A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day. If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pies and tarts the baker can make?
Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than 30 inches of wood to use. Which system of inequalities represents the possible length, l, and the possible width, w, that her frame could have?
Consider the system of inequalities and its graph.y ≥ y ≤ x – 3
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?
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
On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal at y = negative 1. Everything above the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 1) and (0, 0). Everything below the line is shaded.
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
Question text not available
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
Which statements must be true about their heights? Select three options.
Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than 30 inches of wood to use. Which system of inequalities represents the possible length, l, and the possible width, w, that her frame could have?
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