1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andre [41]
3 years ago
6

What is the direct variation equation for the table of ordered pairs?

Mathematics
2 answers:
lakkis [162]3 years ago
4 0

Answer:

The direct variation says that:

y \propto x

then the equation is in the form of : y =kx.....[1] where k is the constant of variation.

From the table:

Consider any values of x and y.

Let x = 20 and y =24

Substitute these values in [1] to solve for k;

24 = 20k

Divide both sides by 20 we get;

1.2 = k

⇒y = 1.2x

Check:

Substitute any values of x and y.

x= 30 and y =36

y = 1.2x

36 = 1.2(30)

36 = 36         True.

Therefore, the direct variation equation for the table of ordered pairs is, y = 1.2x

Nastasia [14]3 years ago
3 0
Hi.

x = 10
y = 12

I got the answer because the the first row down is just the 10 times table. 10, 20, 30, 40. The second row down is the 12 times table. 12, 24, 36, 48. 

Hope this helped!
Have a great day :)
You might be interested in
What is the equation of the inverse function A(n)=3n-20
Allisa [31]

Answer:

A^{-1}(n)=\frac{1}{3}n+\frac{20}{3}

Step-by-step explanation:

First, let's change those variables to x and y, just for the sake of convenience.  In order to find the inverse of a function algebraically, switch the x and y coordinates, then solve for the new y.  Letting y = A(n) and x = n (we will switch them back when we're done):

y = 3x - 20.  This is linear; a line with a slope of 3 and a y-intercept of -20.  When we switch the x and the y, we get:

x = 3y - 20.  Now we solve for the new y.  Begin by adding 20 to both sides:

x + 20 = 3y.  Now divide both sides by 3:

\frac{x+20}{3}=y, or to write it in slope-intercept form, like the function you started with:

y=\frac{1}{3}x+\frac{20}{3}

This is also a line, with a slope of 1/3 and a y-intercept of +20/3

Now, replacing:

A^{-1}(n)=\frac{1}{3}n+\frac{20}{3}

That is how to write the inverse using function notation.  The little -1 as an exponent tells us that this is the inverse of the function A(n).

5 0
3 years ago
At the halftime show, a marching band marched in formation. The lead drummer started at a point with coordinates (-2, -5) and mo
creativ13 [48]

Answer:

Part a) The rule of the translation is (x,y) -----> (x+1,y+3)

Part b) The coordinates of the drummer's final position are (-1,-2)

Step-by-step explanation:

Part a) Write a rule to describe the translation

we know that

The lead drummer moved 3 steps up and 1 step right.

so

3 steps up ----> that means (y+3)

1 step right ---> that means (x+1)

The rule of the translation is equal to

(x,y) -----> (x+1,y+3)

Part b) What were the coordinates of the drummer's final position?

we know that

The drummer's initial position is the point (-2,-5)

Applying the rule of the translation

(x,y) -----> (x+1,y+3)

(-2,-5) -----> (-2+1,-5+3)

(-2,-5) -----> (-1,-2)

therefore

The coordinates of the drummer's final position are (-1,-2)

5 0
3 years ago
Solve for angle Z please help!!!!
bagirrra123 [75]

180 - 106 = 74

180 - 68 - 74 = 38

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 19 and their products is 78. What is the larger number ?
Sunny_sXe [5.5K]
78 = 2 x 3 x 13
1 x 78
2 x 39 = 78
3 x 26=78
6 x 13 = 78

larger number is 13 
5 0
3 years ago
Find the circumference and the area of a circle with radius 5 yd
slavikrds [6]

Answer:

C = 10(pi) yards

A = 25(pi) yards

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Write the equation of the circle with center (0, 0) and (−4, 5) a point on the circle.
    13·1 answer
  • You need to download 3 games for your math class. Each game is the same price. Since this is your first time downloading a game
    9·1 answer
  • Write two fractions that name the point on the number line
    6·1 answer
  • A commuter has $245 in his computer savings account. This account changes by -$15 each week he buys a ticket. In one time period
    11·1 answer
  • Which expression have a value of 2/3
    7·1 answer
  • How many times greater than 10% is 100%
    11·2 answers
  • a bus is traveling at a constant speed . if the the bus travels 15 1/2 miles in 1/3 of an hour , how many miles will the bus tra
    13·1 answer
  • Shelbi is drawing plans for a garden, measured in feet, which is shown on the coordinate plane.
    7·2 answers
  • What ordered pair is a solution to 5x -6y = -4<br><br> A. (3,-3)<br> B. (3,3)<br> C. (4,4)
    5·1 answer
  • Find the area of the white region in the diagram shown.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!