A small dog gets fed 3/4 cups of dog food twice a day. Using d for the number of days and f for the amount of dog food in cups, write an equation relating the variables. Use the equation to find how many days a large bag of dog food will last if it contains 210 cups of food?

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Cxlver

Answer:

[tex]d = \frac{f}{\frac{3}{4}} = \frac{4 \cdot f}{3}[/tex]

Step-by-step explanation:

d1 = 4 * 210 / 3 = 280 days

The desired equation relating the variables is;

  • d = 4f/6

Also, a large bag of dog food that contains 210 cups of food will last 140 days according to the equation.

According to the question;

The small dog gets fed 3/4 cups of dog food twice a day.

In essence; The dog is fed twice a day with 3/4 cups of dog food each time.

Therefore; The dog gets fed 2× (3/4) cups of dog food per day

a) The equation is therefore;

  • d = f/(6/4)

  • d = 4f/6.

b) To determine the number of days a large bag of dog food will last if it contains 210 cups of food;

  • d = 4f/6

  • d = (4 × 210)/6

  • d = 140 days

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