Respuesta :
Answer:
Step-by-step explanation:
Given : Superman needs to save Lois from the clutches of Lex Luthor. After flying for 7 seconds, he is 1687 meters from her. Then at 15 seconds, he is 1215 meters from her.
To Find :
What is Superman's average rate?
How far does Superman fly every 14 seconds?
How close to Lois is Superman after 29 seconds?
Solution :
seconds meters
7 1687
15 1215
[tex](x_{1},y_{1})=(7,1687)[/tex]
[tex](x_{2},y_{2})=( 15, 1215)[/tex]
Slope tells about the rate
Thus slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{1215-1687}{15-7}[/tex]
= -59
Thus Superman's average rate is -59m/s
Every second he's 59 meters closer to Lois,
So if at 15 seconds he's 1215 meters, then the second before that he was 1215-(-59)=1215+59 =1274 meters closer.
how close is he at 29 seconds?
Since the 29 second is 14 seconds away from the 15 seconds, So, 1215 + 14(-29)
= 809 meters
