Question

Write the equation that represents each table of values

Answer 1

9514 1404 393

Answer:

  3.  y = 3·4^x

  4.  y = 24·0.5^x

  5.  y = 45·0.9^x

Step-by-step explanation:

Each table appears to represent an exponential function. Such a function can be written in the form ...

  y = a·b^x

where 'a' is the value of y when x=0, and 'b' is the ratio of the values of y when x=1 and x=0.

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3. a = 3. b = 12/3 = 4

  y = 3·4^x

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4. a = 24. b = 12/24 = 0.5

  y = 24·0.5^x

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5. a = 45. b = 40.5/45 = 0.9

  y = 45·0.9^x