To answer your questions regarding the scenario of flour being poured out at a bakery:
(a) To determine at what time the flour in the machine reaches 0 grams, we would need to look at the graph you mentioned. Typically, this would occur at the point where the graph intersects the horizontal line at 0 grams. Without the actual graph, I can't provide a specific time, but you can find this value by locating the x-axis where the y-value is 0.
(b) The statement that best describes how the time and amount of flour are related is: • As time increases, the amount of flour in the machine decreases.
To find the rate at which the flour is decreasing, you would typically calculate the slope of the line on the graph that represents the amount of flour over time. The slope is calculated as the change in the amount of flour (in grams) divided by the change in time (in minutes).
For example, if the amount of flour decreases from 630 grams at 3 minutes to 0 grams at a later time (let’s say it’s 10 minutes for this example), you would calculate it like this:
- The change in amount of flour (Δy) = 0 - 630 = -630 grams.
- The change in time (Δx) = 10 - 3 = 7 minutes.
So, the rate of decrease (slope) would be:
\[ \text{Rate of decrease} = \frac{\Delta y}{\Delta x} = \frac{-630 \text{ grams}}{7 \text{ minutes}} = -90 \text{ grams per minute}. \]
This means flour is decreasing at a rate of 90 grams per minute. If your graph indicates different values, you would substitute those accordingly to calculate the correct rate.
1 answer