Read the following description of a relationship:A school is ordering chairs for the teacher's lounge and some of the classrooms. Each classroom needs 29 chairs, while the teacher's lounge needs 19.Let n represent the number of classrooms included in the order and c represent the total number of chairs.Complete the table using the relationship between n and c.n c1 4 9 10
Question
Read the following description of a relationship:A school is ordering chairs for the teacher's lounge and some of the classrooms. Each classroom needs 29 chairs, while the teacher's lounge needs 19.Let n represent the number of classrooms included in the order and c represent the total number of chairs.Complete the table using the relationship between n and c.n c1 4 9 10
Solution
The relationship between n (number of classrooms) and c (total number of chairs) is given by the equation c = 29n + 19. This is because each classroom needs 29 chairs and the teacher's lounge needs 19 chairs.
Let's use this equation to complete the table:
- For n = 1, c = 29*1 + 19 = 48
- For n = 4, c = 29*4 + 19 = 135
- For n = 9, c = 29*9 + 19 = 280
- For n = 10, c = 29*10 + 19 = 309
So, the completed table is:
n c 1 48 4 135 9 280 10 309
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