Answer:
1. k = 240
2. [tex]y=\dfrac{240}{x}[/tex]
3. 30 hours
Step-by-step explanation:
1. if y varies inversely:
[tex]\implies y=\dfrac{k}{x}[/tex]
[tex]\implies 40=\dfrac{k}{6}[/tex]
[tex]\implies k=240[/tex]
2.
[tex]\implies y=\dfrac{240}{x}[/tex]
3. If x = 8:
[tex]\implies y=\dfrac{240}{8}=30[/tex]