Question
Yumi is determining the seating arrangement for her big dinner party. Circular tables will seat 8 guests and rectangular tables can seat 10 guests. Yumi is informed that at least 162 guests are attending. Write an inequality that describes the situation.
Let x = # of circular tables
Let y = # of rectangular tables
- 8x + 10y < 162
- 8x + 10y ≤ 162
- 8x + 10y > 162
- 8x + 10y ≥ 162
Hint:
we have to write the linear inequality for this situation. Yumi is determining the seating arrangement for her big dinner party, 8 guest on circular tables and 10 guest on rectangular tables have seats. Yumi is informed that at least 162 guest are attending. Make them as variable and write the equation.
The correct answer is: 8x + 10y ≤ 162
Here we have to write the linear inequality.
Firstly , Justin Yumi is informed that at least 162 guest are attending.
She arrange tables in which, 8 guests on circular tables and 10 guests on rectangular table.
Let x= # of circular tables
let y = # of rectangular tables
we can write,
8x + 10y ≥ 162 [ in inequality at least sign is ≥ ]
Therefore, the correct answer is 8x + 10y ≥ 162 .
Or,
Since Yumi must accommodate at least 162 guests, the inequality that matches the situation is “less than or equal to”
The inequality that matches with the given situation is 8x + 10y ≤ 162
In this question, Here we have to write the standard form of linear inequality. Always remember in inequality at least sign is ≥. And make variable for that also.
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7x + y = -9
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