Question

Help plzz i will give you brianliest Which best describes the graph of the function f(x) = 3(1.8)^x A) The graph passes through the point (0, 3), and for each increase of 1 in the x-values, the y-values increase by 1.8 B)The graph passes through the point (0, 3), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.8 C) The graph passes through the point (0, 1.8), and for each increase of 1 in the x-values, the y-values increase by 3 D)The graph passes through the point (0, 1.8), and for each increase of 1 in the x-values, the y-values increase by a factor of 3 CAN you plz explain why C isn't the answer thank you so much

Answer 1

Answer:

Step-by-step explanation:

Start with why C isn't the answer.

y = 1.8^0 . The power is zero. Anything to the zero power (anything except 0 to the 0 power) is 1. So 1.8^0 is 1 not something else. C assumes that somehow 0,1.8 turns into 1.8. It does not. The second part is also wrong but you don't need it. However here it is.

x = 0        y = 3

x = 1         y = 3 * 1.8 = 5.4

x = 2        y = 3 * 1.8^2 = 3*3.24 = 9.72

You should be able to see that if you multiply 5.4 by 3, you don't get 9.72

C just does not work.

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The actual answer is A. That's exactly what the graph does. If you multiply 5.4 * 1.8 you should get 9.72. Just for completeness, I've included the graph.