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Vika [28.1K]
3 years ago
13

The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the mul

tiplicative rate of change of the function?
Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0
For this case we have a function of the form:
 f (x) = 2 * 5 ^ x

 We will evaluate the function for different values of x:

 For x = 1:
 
f (1) = 2 * 5 ^ 1 = 2 * 5 = 10


 For x = 2:
 
f (2) = 2 * 5 ^ 2 = 2 * 25 = 50


 For x = 3:
 
f (3) = 2 * 5 ^ 3 = 2 * 125 = 250


 We note that for each value of x, the function is 5 times greater than the previous value.
 
 Answer:
 
The multiplicative rate of change of the function is:
 
5
 
The function is 5 times greater for each value of x.
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3 years ago
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Can someone help me with this?
KatRina [158]

Answer:

Step-by-step explanation:

If you write 1 instead of y, x would be 5/8 so ratio is 1/5:8=8/5

7 0
2 years ago
What refers to the quantity of goods and services that consumers are willing to buy at a given price?
crimeas [40]

Answer:

  "demand"

Step-by-step explanation:

Vocabulary question.

  "Demand" refers to the quantity of goods and services that consumers are willing to buy at a given price.

4 0
3 years ago
The perimeter of a rectangular field is 84 yards. The ratio of the length to the width is 2:1. What are the length, width and ar
Ivenika [448]

Given:

  • the perimeter of a rectangular field is 84 yards
  • the ratio of the length to the width is 2:1

To find:

  • the length
  • the width
  • the area

Answer:

Let's assume that the length is 2x and the width is 1x.

We know that the formula to find the perimeter of a rectangle is as follows:

Perimeter = 2 × (Length + Width)

Substituting the values that we have, into the formula above,

84 = 2 × (2x + 1x)

84 = 2 × 3x

84/2 = 3x

42 = 3x

x = 42/3

x = 14

Since we know the value of 'x', let's use it to find the length and the width.

Length = 2x = 2 × 14 = 28

Width = 1x = 1 × 14 = 14

Since we now know the length and the width, let's find the area of the rectangle.

The formula to find the area of a rectangle:

Area = Length × Width

Substituting the values we have into the formula,

Area = 28 × 14

Area = 392

Therefore, the area of the rectangle is 392 square yards.

Hope it helps. :)

4 0
3 years ago
Some one cans help me to find the answer about the whole shape and tell me how do you get the answer step by step please I need
Naya [18.7K]
First let’s call the square shape A and the rectangle shape B.

To find the area of shape A you do 24 x 24 = 576cm squared

To find the area of shape B you do 40 x 24 = 960cm squared

To find the total area you just add the two areas together
576 + 960 = 1536cm squared
4 0
3 years ago
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