Question Describe a flour machine's flour amount vs. time graph. (a) What is the initial flour amount grams? (b) As time increases, does flour amount (i) decrease at rate g/min or (ii) increase at rate g/min?
Studdy Solution
STEP 1
Assumptions1. The graph shows the amount of flour in the machine versus time.
. The amount of flour at time0 is denoted as grams.
3. The rate of change of the amount of flour is either grams per minute (if decreasing) or grams per minute (if increasing).
4. The user will provide a description of the graph to the best of their ability.
STEP 2
To find the amount of flour in the machine at0 minutes, we need to look at the y-intercept of the graph. This is the point where the graph intersects the y-axis, which corresponds to time0.
STEP 3
Based on the user's description of the graph, determine whether the amount of flour is increasing or decreasing over time.If the graph is going down over time, then the amount of flour is decreasing. If the graph is going up over time, then the amount of flour is increasing.
STEP 4
If the amount of flour is decreasing, we need to find the rate at which it is decreasing. This is represented by the slope of the graph. The slope can be calculated by taking the difference in the y-values (amount of flour) divided by the difference in the x-values (time).
STEP 5
If the amount of flour is increasing, we need to find the rate at which it is increasing. This is also represented by the slope of the graph. The slope can be calculated by taking the difference in the y-values (amount of flour) divided by the difference in the x-values (time).Note Without the actual graph or a description of the graph, we cannot provide specific numerical solutions for , , or . The user needs to apply these steps based on the actual graph they have.
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