2 pictures have already been taken
X is the number of vacation days
1x is one picture per vacation day
2+1x=y
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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From the graph at x = 0, y = 0
Check1:
y = cosx
0 = cos(0)
0 = 1
therefore, this is not the function
Check2:
y = sinx
0 = sin(0)
0 = 0
therefore, this is the function
Conclusion:
the function in the graph is y = sinx
8 1/2 = 8.5
10 3/4 = 10.75
9 3/4 = 9.75
8.5 + 10.75 + 9.75 = 29 inches in total <==
The greatest common fact is 6.
18 ÷ 6 = 3
24 ÷ 6 = 4
In simplest form, 18/24 = 3/4