Question

bryant loves to eat bagels to fuel up for his track meets. he typically buys them fresh from the bakery. there is a linear relationship between the number of bagels bryant buys and the total cost. describe the rate of change for this relationship.

Explanation:

Step1: Identify two points on the line

Let's take two points \((x_1,y_1)=(0,0)\) (since when \(x = 0\) (no bagels), \(y=0\) (no cost)) and \((x_2,y_2)=(4,6)\) (by looking at the graph).

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Substitute the values: \(m=\frac{6 - 0}{4 - 0}\)

$$m=\frac{6}{4}=\frac{3}{2}=1.5$$

Answer:

The rate of change (slope) is \(1.5\) dollars per bagel. This means that for each additional bagel Bryant buys, the total cost increases by \(1.5\) dollars.