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3 years ago

6

Someone please help me with this!!!!!

1 answer:

jok3333 [9.3K]3 years ago

8 0

x-axis denotes time in minutes and y-axis denotes distance (in blocks) away from the house.

He left home at zero time, so he started at origin (0,0).

He went to store which is at 6 blocks away from home, he walked at a speed of 3 blocks every 4 minutes. So he walked for 8 minutes to cover 6 blocks distance from home. It means the store is at (8,6). So its graph would be a straight line going from (0,0) to (8,6).

Then he stopped and went into the store for 5 minutes. He stayed at store from point (8,6) to (13,6). Its graph would be horizontal line from (8,6) to (13,6).

Then he went back to home at speed of 2 blocks every 3 minutes, so he walked for 9 minutes to cover 6 blocks distance back to home. It means he returned home at (22,0). So its graph would be a straight line going from (13,6) to (22,0).

The graph is attached herewith the solution.

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Step-by-step explanation:

<u>Step 1: Define</u>

f(8) = -1 → Coordinate (8, -1)

f(6) = 0 → Coordinate (6, 0)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute [SF]: $m=\frac{0+1}{6-8}$
Add/Subtract: $m=\frac{1}{-2}$
Simplify: $m=\frac{-1}{2}$

<u>Step 3: Write Function</u>

<em>Substitute into general form.</em>

Point 1: y + 1 = -1/2(x - 8)
Point 2: y = -1/2(x - 6)

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The correct works are:

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The function is given as:

$Blue(s) = 2s^2 + 3$

The interpretation when Steven is asked to calculate Blue(s + h) is that:

Steven is asked to find the output of the function Blue, when the input is s + h

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Expand the bracket

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So, the correct work is:

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$

<h3>Simplifying Difference Quotient</h3>

In (a), we have:

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$

$Blue(s) = 2s^2 + 3$

The difference quotient is represented as:

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Hence, the correct work is:

$\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h$

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