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3 years ago

The following linear equation represents the line of best fit for the following scatter plot

Mathematics

1 answer:

JulsSmile [24]3 years ago

4 0

Answer:

210 hits

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

y = home runs

x = hits

[Best Line of Fit] y = 0.15x - 1.5

We can use this to predict the average of the scatter plot.

home runs = y = 30

Step 2: Solve for x hits

Substitute [BLF]: 30 = 0.15x - 1.5
Add 1.5 to both sides: 31.5 = 0.15x
Divide 0.15 on both sides: 210 = x
Rewrite: x = 210

Remember that this is a prediction. According to the best line of fit, we would need 210 hits to get 30 home runs.

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the number of users on a new social media website can be modeled by the function f(t) = 12(1.2)^t , where t is the time, in week

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The number of users on new social media site increase as 21, 25, 30, 36,
The average rate of change is given by 5.

The function f (t) = 12 (1.2) ^t show how the rate of users increases in weeks.

<h3>What is Average?</h3>

Average of the values is the ratio of total sum of values to the number of values.

Here, f (t) = 12 (1.2) ^t is defined in the range of (3, 6)
So the value of the function in its range is given by
1) f (3) = 12 (1.2) ^3
= 21
2) f (4) = 12 (1.2) ^4
= 25
3) f (5) = 12 (1.2) ^5
= 30
4) f (6) = 12 (1.2) ^6
= 36
Now the average rate of change = sum of all difference in values at every week / max. Difference in interval of range(3,6)

= f(6)-f(3)/6-3
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brainly.com/question/24057012

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Answer:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

Step-by-step explanation:

In this question, we can use the following formula:

$\text{Percentage Change =} \dfrac{\text{New value - Old Value}}{\text{Old Value}} \times 100$

Positive value of percentage change means increase and

Negative value of percentage change means decrease.

Solution a)

Old Value = 1

New Value = 2

$\text{Percentage Change =} \dfrac{\text{2 - 1}}{\text{1}} \times 100\\\Rightarrow 100\%$

Increase of 100%

Solution b)

Old Value = 2

New Value = 3

$\text{Percentage Change =} \dfrac{\text{3 - 2}}{\text{2}} \times 100\\\Rightarrow 50\%$

Increase of 50%.

Solution c)

Old Value = 3

New Value = 2

$\text{Percentage Change =} \dfrac{\text{2 - 3}}{\text{3}} \times 100\\\Rightarrow -33.33\%$

Decrease of 33.33%.

Solution d)

Old Value = 2

New Value = 1

$\text{Percentage Change =} \dfrac{\text{1 - 2}}{\text{2}} \times 100\\\Rightarrow -50\%$

Decrease of 50%.

Solution e)

Old Value = 1

New Value = 3

$\text{Percentage Change =} \dfrac{\text{3 - 1}}{\text{1}} \times 100\\\Rightarrow 200\%$

Increase of 200%.

Solution f)

Old Value = 3

New Value = 1

$\text{Percentage Change =} \dfrac{\text{1 - 3}}{\text{3}} \times 100\\\Rightarrow -66.67\%$

Decrease of 66.67%.

So, the answer is:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

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