To determine which situation is best represented by the function in the graph, we need to consider the characteristics of each option:
A. The temperature on a thermometer throughout a warm day: This typically shows a gradual increase or decrease and may fluctuate, but generally trends in one direction over time.
B. The height of a ball in the seconds after it leaves a pitcher's hand: This would likely be represented by a parabolic function, increasing at first and then decreasing due to gravity.
C. The amount of water in a bottle as it is being filled: This would represent a situation where the amount of water increases over time, potentially leveling off when the bottle reaches capacity.
D. The demand for a car as its price increases: This typically shows an inverse relationship where demand decreases as price increases, often represented by a downward slope.
Based on typical graph shapes associated with the descriptions:
- If the graph is a curve that initially rises and then falls, choice B (the height of the ball) is the best fit.
- If the graph is linear and rising, then choice C (the water in a bottle) could fit.
- If the graph shows a negative slope, then choice D (demand and price) is appropriate.
Without the actual graph to reference, you would select the option based on the nature of the function visible in the graph provided. If you're looking for a specific characteristic to select one of these options, please describe the graph further.