Question

(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

Explanation:

Step1: Find amount at 0 minutes

The y - intercept of the graph (when time \( t = 0 \)) gives the amount of flour. From the graph, when \( t = 0 \), the amount of flour is 750 grams.

Step2: Determine the relationship and rate

The graph is a straight line with a negative slope, so as time increases, the amount of flour decreases. To find the rate of decrease, we can use the slope formula. The line goes from \( (0, 750) \) to \( (5, 0) \). The slope \( m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 750}{5 - 0}=\frac{- 750}{5}=- 150 \). The negative sign indicates a decrease, so the rate of decrease is 150 grams per minute.

Answer:

(a) 750
(b) As time increases, the amount of flour in the machine decreases. ; 150