Question

a bucket starts with 6 milliliters of water in it. cameron is dropping marbles into the bucket one at a time. he records the volume in the bucket after each marble is dropped in. the graph below shows the relationship between the number of marbles and the volume in the bucket. what is the slope of the line? volume in the bucket (milliliters), v, number of marbles, x slope =

Explanation:

Step1: Identify two points on line

Choose $(x_1,y_1)=(0,6)$ and $(x_2,y_2)=(3,17)$

Step2: Apply slope formula

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
Substitute values: $m=\frac{17-6}{3-0}=\frac{11}{3}$

Answer:

$\frac{11}{3}$