The number of chairs on a ski lift is inversely proportional to the distance between them a lift has 70 chairs when there’s space 24 m apart if 80 evenly spaced chairs are used on the lift how much space will be left between them?

Respuesta :

Answer:

Space between 80 evenly spaced chairs = 21m

Step-by-step explanation:

So, according to the given statement, we have the following expression:

No. of chairs ∝ [tex]\frac{1}{Distance.Between.chairs}[/tex]

70 chairs are 24m apart, so it can be written as:

70  ∝ [tex]\frac{1}{24}[/tex]

For, 1 chair , we divide both sides by 70

[tex]\frac{70}{70}[/tex] ∝ [tex]\frac{1}{24(70)}[/tex]

1 ∝ [tex]\frac{1}{24 (70)}[/tex]               -----------------------(Equation 1)

For 80 chairs:

Multiply both sides of Equation.1 by 80

80  ∝ [tex]\frac{80}{24 (70)}[/tex]      

80  ∝ [tex]\frac{1}{21}[/tex]      

So according to the above relation,

80 evenly spaced chairs will have a space of 21 m between them.