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Anna11 [10]
2 years ago
6

Decide if this statement is true or false.

Mathematics
1 answer:
AVprozaik [17]2 years ago
7 0

Answer:

Step-by-step explanation:

I believe it’s false

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Which explains whether or not the function represents a direct variation?
s2008m [1.1K]

Answer:

The function represents a direct variation

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m

Let

A(0,0) ------> the line passes through the origin

B(2,10)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=10/2=5

C(4,20)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=20/4=5

D(6,30)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=30/6=5

E(8,40)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=40/8=5

The value of k is equal in all the points of the table and the line passes through the origin

therefore

The function represents a direct variation

the equation of the direct variation is equal to

f(x)=5x

4 0
3 years ago
Read 2 more answers
What is the fraction twelve twenties in its simplest form ?
Marina CMI [18]
All you do is divide -12/20  by 4/4 which is -3/5
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3 years ago
Todd swam his race in 26.785 seconds while Frank swam his race in 29.07 seconds. What was the difference in their times?
Alexus [3.1K]
All you got to do is subtract. 2.285
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3 years ago
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Find a value of k for which the following system has only one solution:
densk [106]
K(cannot equal (the = sign with the line through it) -2
k(=/)-2

4 0
3 years ago
63 POINT!!!!! GUYS, I NEED HELP WITH PLSSSSS NO CHEAT THANK YOU!!
nikdorinn [45]

Answer:

  236

Step-by-step explanation:

We assume the cost is a linear function of the number of lessons. That means the slope is the same everywhere.

Let (lessons, cost) = (x, y). We have (4, 84), (8, 160), (12, y3).

  (y2 -y1)/(x2 -x1) = (y3 -y2)/(x3 -x2)

  (160 -84)/(8 -4) = (y3 -160)/(12 -8)

  76 = y3 -160

  y3 = 160 +76 = 236

The cost will be $236 for 12 lessons.

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The cost function is ...

  y = 19x +8 . . . . for x lessons

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