ntext Inequality Systems Graphically (Level 1)Score: 0/10Penalty: 0.5 offQuestionWatch VideoShow ExamplesHenry and his children went into a restaurant that sells drinks for $2 each and tacos for $4 each. Henry has $40 to spend and must buy at least 14 drinks and tacos altogether. If x represents the number of drinks purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically andidetermine one possible solution.Inequality 1:y≥□ plot □Inequality 2:y≥□ plot
Q. ntext Inequality Systems Graphically (Level 1)Score: 0/10Penalty: 0.5 offQuestionWatch VideoShow ExamplesHenry and his children went into a restaurant that sells drinks for $2 each and tacos for $4 each. Henry has $40 to spend and must buy at least 14 drinks and tacos altogether. If x represents the number of drinks purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically andidetermine one possible solution.Inequality 1:y≥□ plot □Inequality 2:y≥□ plot
Write Inequality for Total Amount: Write the inequality for the total amount Henry can spend: 2x+4y≤40.
Write Inequality for Minimum Number: Write the inequality for the minimum number of drinks and tacos: x+y≥14.
Graph First Inequality: Graph the first inequality: 2x+4y≤40. This is a line with a slope of −21 and y-intercept at (0,10). Shade the area below the line because we're looking for values of x and y that make the inequality true.
Graph Second Inequality: Graph the second inequality: x+y≥14. This is a line with a slope of −1 and y-intercept at (0,14). Shade the area above the line because we're looking for values of x and y that make the inequality true.
Find Intersection: Find the intersection of the two shaded areas. This intersection represents the possible combinations of drinks and tacos Henry can buy.
Choose Point: Choose a point within the intersection area. For example, if Henry buys 10 drinks (x=10), he can spend the remaining $20 on tacos, which means he can buy 5 tacos (y=5).
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