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Furkat [3]
3 years ago
8

The following table gives the number of people infected by the flu over a given number of months.

Mathematics
1 answer:
Radda [10]3 years ago
4 0

Answer:

C.) The number of people infected is increasing at a very fast rate.

Step-by-step explanation:

Given the data:

Number of months (X):

0

1

2

3

4

5

Number of people infected (Y) :

1

5

13

33

78

180

y = 32.4x - 39.33

From the attached picture which shows the graphical relationship between months and number of people infected, we could see a positive relationship between the two variables and a slope value of 32.4 obtiamed from the plotted model shows that the rate of increase in the number of infected people is high

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9. If y varies directly with x and y = -3 when x = 6, find y when x = 14.
masya89 [10]

9)

If y varies directly with x and y = -3 when x = 6, find y when x = 14.

We know if y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the constant of variation.

we are given y = -3 when x = 6

so substitute y = -3 and x = 6 to determine 'k'

k = y/x

k = -3/6 = -1/2

Now we have to find y when x = 14

so substituting x = 14 and k = -1/2 to find y

y = kx

y =  -1/2 × 14 = -7

Therefore, the value of y = -7 when x = 14

10) If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.

we are given y = 4 when x = 3

so substitute y = 4 and x = 3 to determine 'k'

k = y/x

k = 4/3

Now we have to find x when y = -12

so substituting y = -12 and k = 4/3 to find x

y = kx

x = y/k

x = [-12] / [4/3] = [-12×3] / [4]

x = -36/4

x = -9

Therefore, the value of x = -9 when x = 3

11)

If y varies directly with x and y = -6 when x = 2, find the constant of variation.

We are given

y = -6

x = 2

so substitute y = -6 and x = 2 in the equation

k = y/x

k = -6/2

k = -3

Therefore, the value of the constant of variation will be:

  • k = -3
7 0
3 years ago
Help its pi, ill give brainiest to the first answer show work please :)
saw5 [17]

Answer:

16m

8m

50.24m

200.96m^2

Step-by-step explanation:

13. 8*2=16

14. 8m

15. 2pi r = 2* pi* 8= 50.24

16. pi r^2 = pi * 8^2= 200.96m^2

8 0
3 years ago
Read 2 more answers
A newborn weighs 3,874 grams at birth and 3,465 grams just prior to discharge from the hospital 2 days later. Knowing that newbo
BlackZzzverrR [31]

Answer:

10.55%

Step-by-step explanation:

Given:

Initial weight of the new born baby = 3,874 grams

final weight of the baby = 3,465 grams

Now,

the current percentage of the weight loss will be calculated as:

Weight loss percentage = \frac{\textup{Loss in the weight}}{\textup{Initial weight of the baby}}\times100%

on substituting the respective values, we get

Weight loss percentage = \frac{(3874-3465)}{3874}\times100%

or

Weight loss percentage = 10.55%

4 0
4 years ago
What does y=kx mean? How do you solve for k? Please simplify the meaning or narrow it down.
nadezda [96]

Answer:

The equation for direct variation is y=kx. Direct variation is when 2 variables both change in the same direction. This means that if one variable increases, then the other does as well and vice versa. In this equation, k is the constant of variation. The constant of variation represents the relationship between the 2 variables. Additionally, the k value does not change.

To solve for k, divide both sides by x. This creates the new equation y/x=k. Using this equation, you can take 2 variables, divide them, and find the constant of variation.

For example, take the values x={1,2,3,4} and y={2,4,6,8}. Using the equation y/x=k, we can find the constant of variation. When plugging the first values of each set into the equation you get 2/1. This equals 2, proving that k=2. Even if you use the other values, like 8/4, k still equals 2.

3 0
2 years ago
Evaluate: 8 [1/4]<br> 0<br> 1<br> 2<br> 3<br><br> Ps&gt; C is not the answer.
eduard

Answer: it is C bro

Step-by-step explanation: cancel the common factor of four

4 0
2 years ago
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