Respuesta :

Answer: B) 4

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Explanation:

Plug in x = 3 to get

y = 3(4)^x

y = 3(4)^3

y = 3(64)

y = 192

Plug in x = 4 to get

y = 3(4)^x

y = 3(4)^4

y = 3(256)

y = 768

Now divide the two results: 768/192 = 4

This works because as x increases by 1, the y value multiplies by 4 which is the base of the exponent. So we still have "grows by a factor of 4" applying in this situation.

tramserran

Answer:  B) 4

Step-by-step explanation:

y = 3(4)ˣ

x = 1:    y = 3(4)¹    

              = 3 x 4

              = 12

x = 2:   y = 3(4)²    

              = 3 x 16

              = 48

Growth factor from x = 1 to x = 2 is: 48 ÷ 12  = 4

x = 3:    y = 3(4)³    

              = 3 x 64

              = 192

x = 4:   y = 3(4)⁴    

              = 3 x 256

              = 768

Growth factor from x = 3 to x = 4 is: 768 ÷ 192  = 4

           

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