a machine at a bakery is pouring out flour. the graph shows the amount of flour (in grams) in the machine…

a machine at a bakery is pouring out flour. the graph shows the amount of flour (in grams) in the machine versus time (in minutes). (a) what is the amount of flour in the machine at 0 minutes? grams (b) choose the statement that best describes how the time and amount of flour are related. then fill in the blank. as time increases, the amount of flour in the machine decreases. at what rate is the amount of flour decreasing? grams per minute as time increases, the amount of flour in the machine increases. at what rate is the amount of flour increasing? grams per minute

a machine at a bakery is pouring out flour. the graph shows the amount of flour (in grams) in the machine versus time (in minutes). (a) what is the amount of flour in the machine at 0 minutes? grams (b) choose the statement that best describes how the time and amount of flour are related. then fill in the blank. as time increases, the amount of flour in the machine decreases. at what rate is the amount of flour decreasing? grams per minute as time increases, the amount of flour in the machine increases. at what rate is the amount of flour increasing? grams per minute

Answer

Explanation:

Step1: Find initial - amount

The amount of flour at 0 minutes is the y - intercept of the graph. Looking at the graph, when (x = 0), (y=60). So the amount of flour in the machine at 0 minutes is 60 grams.

Step2: Determine rate of change

The graph is a straight - line with a negative slope, which means as time ((x)) increases, the amount of flour ((y)) in the machine decreases. The slope (m) of a line is given by the formula (m=\frac{\Delta y}{\Delta x}). The line passes through the points ((0,60)) and ((3,0)). Then (m=\frac{0 - 60}{3-0}=\frac{- 60}{3}=-20). The rate at which the amount of flour is decreasing is 20 grams per minute.

Answer:

a. 60 b. As time increases, the amount of flour in the machine decreases; 20