Write the linear equation that gives the rule for this table.

x f(x)
2 27
3 28
4 29
5 30


Write your answer as an equation with f(x) first, followed by an equals sign.

Answers

Answer 1

Answer:

The linear equation that gives the rule for this table will be:

y=x+25

Step-by-step explanation:

Taking two points from the table

(2, 27)(3, 28)

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:27\right),\:\left(x_2,\:y_2\right)=\left(3,\:28\right)[/tex]

[tex]m=\frac{28-27}{3-2}[/tex]

[tex]m=1[/tex]

We know the slope-intercept form of linear equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

substituting the point (2, 27) and m=1 in the slope-intercept form to determine the y-intercept 'b'

[tex]y=mx+b[/tex]

27 = 1(2)+b

27-2 = b

b = 25

Now, substituting m=1 and b=25 in the slope-intercept form to determine the linear equation

y=mx+b

y=1(x)+25

y=x+25

Thus, the linear equation that gives the rule for this table will be:

y=x+25
Answer 2

The linear equation that gives the rule of the table is f(x) = x + 25

The linear equation can be represented in a slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

Using the table let get 2 points

(2, 27)(3, 28)

let find the slope

m = 28 - 27 / 3 -2 = 1

let's find b using (2, 27)

27 = 2 + b

b = 25

Therefore,

y = x + 25

f(x) = x + 25

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Answer:

240

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

[tex] - \frac{4}{5} \div 2[/tex]

[tex] - \frac{4}{5} \times \frac{1}{5} [/tex]

[tex] =- \frac{2}{5} [/tex]

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Step-by-step explanation:

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Answers

Answer:

the right-hand graph of the first diagram represents ordered pairs which are satisfied by the equation.

The correct graph is attached below.

Step-by-step explanation:

Given the function equation

y = 10x

Given that the cost of each ticket is $10.

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at x = 2, y = 10(2) = 20               ∵ cost of 2 tickets

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at x = 4, y = 10(4) = 40                ∵ cost of 4 tickets

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The correct graph is attached below.

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

The sea level is considered to be zero, so that elevation is positive while depth is negative.

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Paragraph Proofs a type of proof that explains the rationale for each step using complete sentences in paragraph form

Flow Chart Proofs a diagram that contains the steps of the proof and the justification for each one

------------------------

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