Question

linear relationships mini retest

1. the line graphed on the coordinate grid can be used to determine the number of inches of water added to a swimming - pool after different numbers of hours.

swimming pool
which statement best describes the slope of the graphed line?
the water is being added at a rate of 0.42 inch per hour.
the water is being added at a rate of 0.80 inch per hour.
the water is being added at a rate of 2.40 inches per hour.
the water is being added at a rate of 1.25 inches per hour.
clear all

Explanation:

Step1: Recall slope - formula

The slope formula for a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify two points on the line

From the graph, we can take two points, say $(0,0)$ and $(10,24)$.

Step3: Calculate the slope

Substitute $x_1 = 0,y_1 = 0,x_2=10,y_2 = 24$ into the slope formula: $m=\frac{24 - 0}{10 - 0}=\frac{24}{10}=2.4$.

Answer:

The water is being added at a rate of 2.40 inches per hour.