👤

Answer :

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]