a machine at a bakery contains flour. when the machine is turned on, it begins to pour the flour out. the…

a machine at a bakery contains flour. when the machine is turned on, it begins to pour the flour out. the machine pours until it is empty, at which time it turns off. the graph below shows the linear relationship between the time x (in minutes) since the machine was turned on and the amount of flour y (in grams) in the machine. write a linear equation to represent the relationship between x and y.

a machine at a bakery contains flour. when the machine is turned on, it begins to pour the flour out. the machine pours until it is empty, at which time it turns off. the graph below shows the linear relationship between the time x (in minutes) since the machine was turned on and the amount of flour y (in grams) in the machine. write a linear equation to represent the relationship between x and y.

Answer

Explanation:

Step1: Find the slope

The line passes through points $(0,400)$ and $(1,0)$. The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So $m=\frac{0 - 400}{1-0}=- 400$.

Step2: Find the y - intercept

The y - intercept $b$ is the value of $y$ when $x = 0$. From the point $(0,400)$, $b = 400$.

Step3: Write the linear equation

The slope - intercept form of a linear equation is $y=mx + b$. Substituting $m=-400$ and $b = 400$, we get $y=-400x + 400$.

Answer:

$y=-400x + 400$