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3 years ago

Suppose that x and y vary inversely, and x = 2 when y = 7. Write the function that models the inverse variation.

Mathematics

2 answers:

igor_vitrenko [27]3 years ago

8 0

The answer to the question is letter B. y=14/x

irga5000 [103]3 years ago

6 0

Since, in this case, we have 4 options then you just need to substitute each number.
A. y = 5/x
B. y = 14/x
C. y = 9/x
D. y = 3.5x

We know that x= 2 when y=7. So...
A. y = 5/x
7=5/2
7=2.5
This is false.

B. y = 14/x
7= 14/2
7=7
This is right, So True.

C. y = 9/x
7=9/2
7=4.5
False

D. y = 3.5x 7=3.5(2)
7=7
This one is also true.

In this case we look for definition.

he statement " y varies inversely as x means that when x increases, y decreases by the same factor. In other words, the expression xy is constant:
xy = k

where k is the constant of variation.

We can also express the relationship between x and y as:

y = k/x

where k is the constant of variation.

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Lauren is a college sophomore majoring in business. This semester Lauren is taking courses in accounting, economics, management

Alexxandr [17]

Answer:

a) We can calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= \frac{350+ 70+ 65 +50+ 60}{5} =119$

And for the median first we need to order the dataset on increasing way:

50, 60, 65, 70, 350

Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:

Median = 65

b) For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.

Step-by-step explanation:

For this case we have the following data:

350, 70, 65, 50, 60

Part a

We can calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= \frac{350+ 70+ 65 +50+ 60}{5} =119$

And for the median first we need to order the dataset on increasing way:

50, 60, 65, 70, 350

Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:

Median = 65

Part b

For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.

8 0

3 years ago

If 111 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the c

VikaD [51]

Answer:

57 children

54 adults

Step-by-step explanation:

Let's call x the number of children admitted and call z the number of adults admitted.

Then we know that:

$x + z = 111$

We also know that:

$3.25x + 4z = 401.25$

We want to find the value of x and z. Then we solve the system of equations:

-Multiplay the first equation by -4 and add it to the second equation:

$-4x - 4z = -444$

$3.25x + 4z = 401.25$

----------------------------------

$-0.75x = -42.75$

$x =\frac{-42.75}{-0.75}\\\\x=57$

Now we substitute the value of x in the first equation and solve for the variable z

$57 + z = 111$

$z = 111-57$

$z = 54$

5 0

3 years ago

Read 2 more answers

You have come in contact with the Zombie Virus and are now infected with one strand. The

coldgirl [10]

Answer:

y=2^x

Step-by-step explanation:

5 0

2 years ago

Samantha puts an initial $500 into a savings account. The account has a 4% annual compound interest rate. What is the function t

Licemer1 [7]

I use a bit of a different looking formula.

A(t)=P(1+r/n)^nt

P=amount of money. (500)
r= rate (in decimal. 4%=0.04)
n=number of times per year (1 in this problem)
t=amount of time. (5 years)

Plugged in it looks like this:

A(t)=500 (1+ 0.04/1)^1x5

Then I put it into my calculator like this:

0.04/1+ 0.04

Then add one to the above answer:

0.04+1=1.04

Then raise the above answer to the 1x5:

1.04^5=1.2166......

Then multiply the above answer by 500:

1.2166.... x 500=608.3264512

She has $608 after 5 years.

Hope this helps, let me know if you have any questions.

5 0

3 years ago

2/3y + 15 = 9 What are the steps for this question

xenn [34]

Answer:

see below

Step-by-step explanation:

2/3y + 15 = 9

Subtract 15 from each side

2/3y + 15-15 = 9-15

2/3y = -6

Multiply each side by 3/2 to isolate y

3/2 * 2/3y = -6 *3/2

y = -9

4 0

3 years ago

Read 2 more answers