Question

Which is the graph of f(x) = 100(0.7)x? On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 9) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 70) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 30) and (0, 100). Mark this and return

Answer 1

Answer: A

Explanation:

Answer 2

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Which is the graph of the given function?

Here we have the exponential decay:

f(x) = 100*(0.7)^x

So, as x increases, y will tend to zero (because this is a decay, the number with the exponent x is between zero and 1).

Now, if we evaluate in x = 0 we get:

f(0) = 100*(0.7)^0 = 100

Then it goes through the point (0, 100).

If we evaluate in x = 2, we get:

f(2) = 100*(0.7)^2 = 49

Then it also goes through the point (2, 49).

With all that in mind, the correct option is:

"On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100)."