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The number of apples required to bake a pie varies directly with the square of the diameter of the pie tin. If 4 apples are required for a pie tin with a diameter of 8 inches, how many apples are required for a pie tin with a diameter of 10 inches?

Sagot :

Answer:

5 apples

Step-by-step explanation:

Solution,

4 apples are required for a pie tin with a diameter of 8 inches

For 1 inch of the pie tin 8/4=2 apples are required.

For 10 inches 10/2=5 apples are required.

Answer:

  • 6.25 apples

Step-by-step explanation:

Let the number of apples be a and diameter be d.

The relationship is:

  • a = kd², where k is he coefficient of proportionality

We have a = 4 when d = 8.

Find k:

  • 4 = k*8²
  • 4 = 64k
  • k = 4/64
  • k = 1/16

The equation is now:

  • a = d²/16

Find a when d = 10:

  • a = 10²/16
  • a = 100/16
  • a = 6.25 apples