Questions: MATH100: Fundamentals of I x HW: 3.4 Slope and R The graph below shows the increase in sales for a small business over 6 years Sales (in thousands of dollars) Find the slope (m) of the line between the two points shown on the graph. m= x Write a sentence that states the meaning of the slope. Sales (in dollars) are increasing at a rate of per year:

MATH100: Fundamentals of I x
HW: 3.4 Slope and R
The graph below shows the increase in sales for a small business over 6 years

Sales (in thousands of dollars)

Find the slope (m) of the line between the two points shown on the graph.
m= x

Write a sentence that states the meaning of the slope.
Sales (in dollars) are increasing at a rate of 
per year:
Transcript text: MATH100: Fundamentals of I $x$ HW: 3.4 Slope and R The graph below shows the increase in sales for a small business over 6 years Sales (in thousands of dollars) Find the slope $(m)$ of the line between the two points shown on the graph. $m=$ $\square$ $x$ Write a sentence that states the meaning of the slope. Sales (in dollars) are increasing at a rate of $\square$ per year:
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Solution

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Solution Steps

Step 1: Identify the given points

The graph provides two points: (2, 40) and (4, 80).

Step 2: Use the slope formula

The slope \( m \) is calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Substitute the given points into the formula: \[ m = \frac{80 - 40}{4 - 2} \]

Step 3: Simplify the slope calculation

Simplify the expression: \[ m = \frac{40}{2} = 20 \]

Final Answer

The slope \( m \) is 20. This means that sales (in thousands of dollars) are increasing at a rate of $20,000 per year.

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