Option B Inverse Variation because xy=240 is correct.
Step-by-step explanation:
if Alejandro rides 10 mph it takes him 24 minutes.
if Alejandro rides 12 mph it takes him 20 minutes.
Making table for given data set.
Considering miles as y and time as x
Miles(y) Time (x)
10 mph 24 minutes
12 mph 20 minutes
If the miles are increasing the time taken is less, so the variation is inverse.
The formula used to find inverse variation is:
![y = \frac{k}{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bk%7D%7Bx%7D)
Where y is miles and x is time, and k is constant
Putting y = 10 and x = 24
![10 = \frac{k}{24} \\24*10= k\\240 = k](https://tex.z-dn.net/?f=10%20%3D%20%5Cfrac%7Bk%7D%7B24%7D%20%5C%5C24%2A10%3D%20k%5C%5C240%20%3D%20k)
So, the value of k constant is 240.
For any value of x and y the value of k will be 240
Hence Option B Inverse Variation because xy=240 is correct.
Learn More:
brainly.com/question/5069437
Key Words: direct variation, inverse variation
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Answer:
C
Step-by-step explanation:
A, B and D are all only a few digits long and can be expressed as the ratio of two integers, where at least one is even:
A = -6/16 = -3/8, so it's rational
B = 7.0398 = 35199/5000, so it's rational
D = 6,907 = 13814/2, therefore rational
C, on the other hand is irrational.
If we simplify the surd √8, we get 2√2. The 2's on the top and bottom can now cancel out, giving us √2, which is irrational. [There's a proof but it's kinda long].
Ok, so first you want to put x/6 off to the side. The since 2 is your first number you do the opposite and subtract 2 from the other 2. What you did to the 2 you to the 8 which means you subtract 2 from 8 and your answer is 6. Then you put your focus back to the x/6. So ignore the x. Because x/6 means divide you do the opposite of division which is multiply. so multiply 6x6, BUT the answer to 6x6 is 0. then multiply 8x6 and bring back the x so your final answer is x=48
3x^2 +6y^2 = 18
Divide each term by 18 to make the right side equal 1:
3x^2/18 + 6y^2/18 = 1
Simplify each term:
x^2/6 + y^2/3 = 1
The form of an eclipse is written as (x-h)^2/a^2 + (y-k)^2/b^2 =1
Match the values in the ellipse to the standard form:
a = √6
b=√3
k = 0
h = 0
The center = (h,k) = (0,0)
Vertex is h +a, k = (√6,0) and (-√6,0)
Focus is h+c,k = (√3,0) and (-√3,0)