Answer: There are 4 students in the group.
Step-by-step explanation:
Let the number of students in the group be n
If one of them scored 9 more points , their average score would be 81 points.
So, our equation (1) will be
Similarly,
If one of them scored 3 points less, their average score would be 78 points.
So, our equation (2) will be
So, from equation (1) and (2) we get:
Hence, there are 4 students in the group.
Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Step-by-step explanation:
A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.
A relationship is direct variation if where k is the constant.
Now checking if the given data is having direct variation or not.
x y
3 24
4 32
5 40
6 48
Now finding y/x
if y=24 and x = 3 then y/x = 24/3 = 8
if y=32 and x = 4 then y/x =32/4=8
if y=40 and x = 5 then y/x =40/5 =8
if y=48 and x = 6 then y/x =48/6= 8
Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Keywords: Direct Variation
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Answer:
Ques 16)
We have to simplify the expression:
Ques 17)
Ques 18)
Let the blank space be denoted by the quantity 'x'.
Ques 19)
Let the missing quantity be denoted by 'x'.