Question

a local bagel shop bakes at a constant rate of 150 bagels every 2 hours. the owner wants to represent the production of bagels as a linear equation, with \\(x\\) representing the amount of time in hours and \\(y\\) representing the amount of bagels baked.
what is the slope of the linear equation?

a 300
b 150
c 75
d 2

Explanation:

⚡ Using what you learned: Unit Rate · slope of a line

Step 1: Identify variables and rate

The independent variable \( x \) represents time in hours.
The dependent variable \( y \) represents the number of bagels baked.

The rate of production is given as:

$$ 150 \text{ bagels} \text{ every } 2 \text{ hours} $$

Step 2: Calculate the slope

The slope \( m \) of a linear equation represents the unit rate of change (change in \( y \) per unit change in \( x \)):

$$ m = \frac{\text{Change in } y}{\text{Change in } x} = \frac{150 \text{ bagels}}{2 \text{ hours}} = 75 $$

Answer:

C (75)