For the data in the table does y vary directly with x? if it does write an equation for the dorect variation.
x;y
10,15
16,24
20,30
a:yes; y=1.5x
b:yes;y=2x
c:yes;y=x+5
d: y does not vary directly with x
if you are from connections and know any other answers/know to help with this please do!!!
Oh come on
15/10 = ?
24/16 = ?
30/20 = ?
Dont be rude ms. sue
To determine whether y varies directly with x, we need to check whether the ratios of corresponding y and x values are always the same.
Let's calculate the ratios for the given data:
For x = 10, y = 15, the ratio is 15/10 = 1.5.
For x = 16, y = 24, the ratio is 24/16 = 1.5.
For x = 20, y = 30, the ratio is 30/20 = 1.5.
Since the ratios are always the same (1.5), we can conclude that y varies directly with x.
Now, we need to find an equation for this direct variation. The equation for direct variation is of the form y = kx, where k is the constant of variation.
To find k, we can choose any of the given data points. Let's take the first data point (10, 15):
15 = k * 10
k = 15/10
k = 1.5
So, the equation for the direct variation is y = 1.5x.
Therefore, the correct answer is a: yes; y = 1.5x.
Do you mean you don't know enough to even try to answer that question? And you want others to help you cheat by giving you answers?
Do people trust cheaters?