Question

what is the rate of change of the function shown on the graph? round to the nearest tenth.

2.00
2.50
5.25
10.50

Explanation:

Identify the function type and points

Using the Exponential Growth Model knowledge point

$$
LATEXBLOCK0
$$

Determine the growth factor

Using the Exponential Growth Model knowledge point

$$
LATEXBLOCK1
$$

Calculate the rate of change

Find the constant base growth rate.
The growth factor is \(2.5\).
This represents a rate of change (growth rate) of:

$$ r = b - 1 = 2.5 - 1 = 1.5 $$

Alternatively, looking at the options, the question asks for the growth factor \(b\) itself, which is often referred to as the "rate of change" or "growth factor" in high school curricula.
Let's check the value:

$$ b = 2.50 $$

This matches the option \(2.50\).

Answer:

• (A) 2.00
• (B) 2.50 (Correct answer)
• (C) 5.25
• (D) 10.50