Question

1. terica is dissolving a substance in a solution for a chemistry experiment. terica measured the amount of substance remaining in grams over time passed in seconds. the linear relationship is shown on the graph. find the rate of change of the grams remaining with respect to time.

Explanation:

Step1: Select two points on the line

Let's take the points (0, 45) and (6, 5).

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line. Here, $x_1 = 0,y_1=45,x_2 = 6,y_2 = 5$.
$m=\frac{5 - 45}{6-0}$

Step3: Calculate the value of the slope

$m=\frac{- 40}{6}=-\frac{20}{3}\approx - 6.67$

Answer:

$-\frac{20}{3}$ grams per second