Graph of y = 5(0.8)^x

10
advanced-math

Which statement describes the graph of y=5(0.8)xy = 5(0.8)^x?

A

Starts at 5 and goes up.

B

Starts at 5 and goes down.

C

Starts at 0.8 and goes up.

D

Starts at 0.8 and goes down.

Correct Answer: B

Choice B is the correct answer. Analyze aa and bb.

  1. Initial: a=5a=5, so it starts at y=5.
  2. Decay: b=0.8<1b=0.8 < 1, so it is decreasing (going down).

💡 Strategic Tip: Base <1< 1 means the graph slides down like a slide.

Choice A is incorrect because it would need b>1b > 1. Choice C is incorrect because initial value is 5, not 0.8.

Back to Set
Set 24: Exponential Functions 24