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stealth61 [152]
3 years ago
10

Determine whether y varies directly with x. Find the constant of variation. Write the function rule x 5 7 9 y 6 11 16

Mathematics
1 answer:
daser333 [38]3 years ago
4 0

Answer:

  a)  y does NOT vary directly with x

  b)  y = 2.5x -6.5

Step-by-step explanation:

If variation were direct the ratios of y to x would be constant. They are not:

  6/5 ≠ 11/7

y does not vary directly with x.

__

y changes by 5 from 6 to 11 when x changes by 2 from 5 to 7. Then the slope of the linear function rule is (change in y)/(change in x) = 5/2. Using a point-slope form of the equation of a line, we can write the rule as ...

  y = m(x -h) +k . . . . . . . . for a line of slope m through point (h, k)

  y = (5/2)(x -5) +6

  y = 2.5x -6.5 . . . . . simplify

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Speed, Time, and Di 1 a. An airplane flies with a constant speed of 640 miles per hour. How far can it travel in 2 1/2 hours​
Ganezh [65]

Answer:

Step-by-step explanation:

2½ hours × 640 miles/hour = 2½×640 miles = 1,600 miles

5 0
3 years ago
On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4).
xxMikexx [17]

The x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10 is; (-2.6, 5.2)

<h3>How to find coordinate points?</h3>

The coordinate of the points are given as:

A(-4, 8)

B(2, -4)

Ratio of partition is given as; 3:10

Now, the point at the given ratio is calculated from the formula;

C = [(mx2 + nx1)/(m + n)], [(my2 + ny1)/(m + n)]

Thus;

C = [(3*2 + 10*-4)/(3 + 10)], [(3*-4 + 10*8)/(3 + 2)]

C = (-34/13, 68/13)

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Read more about Coordinate Points at; brainly.com/question/17206319

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6 0
2 years ago
10 times as much as 72.67
Inessa05 [86]

Answer:

726.7 hope this helps

6 0
3 years ago
8 out of 200 is what percent
kipiarov [429]
Hey there! 

Here are the steps involved in answering this question:

1. Write 8 out of 200 as a fraction which is \frac{8}{200}

2. Turn the fraction into a decimal. To do this, divide the numerator by the denominator. The numerator is the top part of the fraction while the denominator is the bottom part of the fraction.

\frac{8}{200}  = 0.04

3. You get 0.04. Now, turn this into a percent. Move the decimal, 2 places to the right or just multiply the decimal by 100.

0.04 = 4%

The final answer is 4%.

Another way of doing this is to get 100 as a denominator.
Since, percent means, "Out of 100", we have to make the denominator 100.

1.  \frac{8}{200} = 4/100

Just divide each side by 2.

Again, the final answer is, 4%

<span>(If you feel that my answer has helped you, please consider rating it and giving it a thank you! Also, feel free to make the best answer, the brainliest answer!)
</span>
<span>Thank you! :D</span>
6 0
3 years ago
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