Which is the graph of f of x is equal to 100 times 0 point 7 to the x th power ?

Answer

A

Image with description A coordinate plane with a curve. The horizontal axis is labeled from negative 5 to 5 in increments of 1 and the vertical axis is labeled from negative 100 to 100 in increments of 50. The curve passes through the labeled points 0 comma 100 and 2 comma 49, and descends from left to right.

B

Image with description A coordinate plane with a curve. The horizontal axis is labeled from negative 5 to 5 in increments of 1 and the vertical axis is labeled from negative 100 to 100 in increments of 50. The curve passes through the labeled points 0 comma 100 and 2 comma 30, and descends steeply from left to right.

C

Image with description A coordinate plane with a curve. The horizontal axis is labeled from negative 5 to 5 in increments of 1 and the vertical axis is labeled from negative 100 to 100 in increments of 50. The curve passes through the labeled points 0 comma 100 and 2 comma 70, and descends gradually from left to right.

D

Image with description A coordinate plane with a curve. The horizontal axis is labeled from negative 5 to 5 in increments of 1 and the vertical axis is labeled from negative 100 to 100 in increments of 50. The curve passes through the labeled points 0 comma 100 and 2 comma 70, and descends from left to right.

Explanation

At x = 0, f(0) = 100(0.7)^0 = 100, so the graph passes through (0, 100). At x = 2, f(2) = 100(0.7)^2 = 100(0.49) = 49. Choice A passes through (0, 100) and (2, 49), and the curve decreases because the base 0.7 is between 0 and 1.

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Which is the graph of f of x is equal to 100 times 0 point 7 to the x th power ?

Explanation

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