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:
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:
Solution
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.