mrs. mccloud is conducting an experiment with her science class. she ties a weather balloon to a tether…
mrs. mccloud is conducting an experiment with her science class. she ties a weather balloon to a tether until she is ready to release it. once mrs. mccloud releases the balloon, it slowly rises. this situation can be modeled as a linear relationship. complete the statement that describes the situation. the weather balloon is feet above the ground while tethered. after mrs. mccloud releases the balloon, it rises
Answer
Explanation:
Step1: Find initial height
The y - intercept of the linear graph represents the height of the balloon when it is tethered. When (x = 0) (time of release is 0 minutes), from the graph, (y=100). So the balloon is 100 feet above the ground while tethered.
Step2: Calculate rate of rise
The slope of the line gives the rate at which the balloon rises. We can use two points ((x_1,y_1)=(0,100)) and ((x_2,y_2)=(10,450)). The slope (m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{450 - 100}{10-0}=\frac{350}{10}=35). So the balloon rises 35 feet per minute.
Answer:
The weather balloon is 100 feet above the ground while tethered. After Mrs. McCloud releases the balloon, it rises 35 feet per minute.