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Which of the following statements is true for a function with equation f(x) = 5(3)*?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.
The graph has y-intercept (0, 3) and increases with a constant ratio of 5.
The graph has y-intercept (0,5) and decreases with a constant ratio of 3.

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sqdancefan

Answer:

  The graph has y-intercept (0,5) and increases with a constant ratio of 3

Step-by-step explanation:

The value of the function when x=0 is 5·3^0 = 5, so the y-intercept is (0, 5).

Each increase of 1 in x causes the function value to increase by a factor of 3, so the 'constant ratio' is 3. (That is the base of the exponential term.)

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The graph has y-intercept (0,5) and increases with a constant ratio of 3

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