The value, y, in USD of a particular stock for 4 days, x, is shown in the table.

Question

days 0 1 2 3 4
stock value ($)
(
$
)
19.2 6.3 2 6.3 19.2
What type of function could be used to model the value, y, of the stock as a function of time, x?

(1 point)
Responses

quadratic function
quadratic function

linear function
linear function

exponential decay function
exponential decay function

exponential growth function

Answer 1

To determine the type of function that could model the stock value over the given days, we can analyze the values provided:

• Day 0: 19.2
• Day 1: 6.3
• Day 2: 2
• Day 3: 6.3
• Day 4: 19.2

The values appear to follow a pattern where they decrease significantly from day 0 to day 2, then increase back to the value at day 0 by day 4. This suggests that the stock value is not following a linear or exponential pattern, but rather it resembles a parabola, since it decreases to a minimum and then increases back.

Therefore, the appropriate choice to model the stock value as a function of time is:

quadratic function