The number of cups of dog food a dog eats varies directly with the number of cups of eater it drinks. In a certain period, the dog eats 16 cups of dog food and drinks 6 cups of water. How many cups of dog food will a dog eat if it drank 15 cups of water?

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Respuesta :

Answer:

  • 40 cups of food

Step-by-step explanation:

Equation of direct variation:

  • y = kx, where k is the coefficient of variation

We have:

  • 16 = 6k

Find the value of k:

  • k = 16/6 = 8/3

Now the equation is:

  • y = 8/3x

We have x = 15, find the value of y:

  • y = 8/3*15 = 8*5 = 40