Is this linear relationship a direct variation?
1 answer:
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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Hey there!
You can find your rate of change by using the slope formula:
You can use the first two points you've been given, starting with the least. These two points are (0, 0) and (1, 35). Just plug these into your formula and solve.
35 will be your answer.
Hope this helped you out! :-)
You can find your rate of change by using the slope formula:
You can use the first two points you've been given, starting with the least. These two points are (0, 0) and (1, 35). Just plug these into your formula and solve.
35 will be your answer.
Hope this helped you out! :-)