All categories

3 years ago

Determine the constant of variation for the direct variation given. Type a numerical answer in the space provided.

Mathematics

1 answer:

Andreyy893 years ago

5 0

Answer:

B. 4

Step-by-step explanation:

Determine the constant of variation for the direct variation given.

(0, 0), (3, 12), (9, 36)

A. 3

B. 4

C.12

Direct variation is given by:

y = kx

Where,

k = constant of variation

(3, 12)

x = 3; y = 12

y = kx

12 = k*3

12 = 3k

k = 12 / 3

k = 4

(9, 36)

x = 9; y = 36

y = kx

36 = k * 9

36 = 9k

k = 36 / 9

= 4

k = 4

Constant of the variation = 4

You might be interested in

Write an equation With the slope equal to -4/5 and (0,8)

Murljashka [212]

Answer: y = (-4/5)x + 8

Solution

The equation of line is

y = mx + b

Where

y = y coordinate

m = slope

x = x coordinate

b = y intercept

In order to write the equation of line we need to find the y-intercept (b)

substitute the slope (-4/5) and coordinates given (0,8) ,

y = mx + b

8 = -4/5 (0) + b

8 = b

So,

y = (-4/5)x + 8

3 0

3 years ago

Sarah took the advertising department from her company on a road trip to meet with a potential client including Sarah a total of

Svetach [21]

Sarah has spent 7 first class tickets, and 6 coach tickets that totals for 13 people that took the trip.

$1040 * 7 = $7280

$140 * 6 = $840

$7280 + $840 = $8120 for Sarah's total budget she spent for 7 first class tickets and 6 coach tickets for 13 people that took the trip.

Answer:
7 first class tickets.
6 coach tickets.

Hope this helps!
<em>
</em><em>~ ShadowXReaper069</em>

7 0

3 years ago

Write a real world problem where the Unit rate is 6 miles per hr

Galina-37 [17]

This is just an example i came up with randomly:

Emma is going somewhere for vacation. Emma has been traveling for 6 hours and in those 6 hours, she has travelled 36 miles. How many miles did she travel in one hour?

8 0

2 years ago

Choose the graph below that has an undefined slope.

Ronch [10]

Answer:

The correct option is A.

Step-by-step explanation:

The first line passing through the points (-6,2) and (-6,0).

The slope of a line is

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of first line is

$m_1=\frac{0-2}{-6-(-6)}=\infty$

The second line passing through the points (0,-4) and (-1,1). The slope of second line is

$m_2=\frac{1-(-4)}{-1-0}=-5$

The third line passing through the points (0,-6) and (2,-6). The slope of third line is

$m_3=\frac{-6-(-6)}{2-0}=0$

The fourth line passing through the points (0,6) and (-3,-7). The slope of fourth line is

$m_4=\frac{-7-6}{-3-0}=\frac{13}{3}$

Since the slope of a vertical line is infinity, Therefore option A is correct.

8 0

3 years ago

Read 2 more answers

There are 527 pencils,646 erasers,748 sharpeners . these are to be put in separate packets containing the same no. of items. fin

Ksju [112]

$To \; find \; the \; maximum \; number \; of \; items \; possible \; in each \; packet,\\we \; need \; to \; find \; the \; Greatest \; Common \; Factor\\ \; of \; 527 \; Pencils, \; 646 \; erasers \; and \; 748 \; sharpeners.\\\\We \; need \; to \; list \; the \; Factors \; of \; each \; number \; as \; given \; below\\ \; and \; identify \; the \; greatest \; common \; factor.$

$The \; factors \; of \; 527 \; are:\\1, \; 17, \; 31, \; 527\\\\The \; factors \; of \; 646 \; are:\\1, \; 2, \; 17, \; 19, \; 34, \; 38, \; 323, \; 646\\\\The \; factors \; of \; 748 \; are:\\1, \; 2, \; 4, \; 11, \; 17, \; 22, \; 34, \; 44, \; 68, \; 187, \; 374, \; 748\\\\Then \; the \; greatest \; common \; factor \; is \; 17.$

$Conclusion: \\There \; will \; 31 \; Pencils, \; 38 \; Erasers,\\ \; and \; 44 \; Sharpeners \; in \; each \; of \; SEVENTEEN \; packet.$

4 0

3 years ago