2

Set 8: Exponential Functions (Advanced)

Explanation

Answer: C

In the equation y=5000(1.03)xy = 5000(1.03)^x, what does the value 5000 represent?

A.

The growth rate

B.

The growth factor

C.

The y-intercept

✓ Correct
D.

The exponent

Detailed Explanation

Choice C is correct. Choice C is the correct answer. The coefficient aa is the y-intercept. 1. Identify: a=5000a = 5000. 2. Interpret: This is the value when x=0x=0, which is the y-intercept (initial value). Strategic Tip: Initial value = Starting amount = Y-intercept. Choice A is incorrect because the rate is 0.03. Choice B is incorrect because the factor is 1.03.

Key Steps:

The correct answer is The y-intercept

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

🎯 Keep Practicing!

Master all sections for your best SAT score