AZSCI Math & Computational Thinking

Question 1

A biologist is studying the population growth of a specific bacteria that doubles every 20 minutes.
If the initial population is 500 bacteria, which mathematical expression correctly models the population (P) after 't' hours?

Accepted Answer

P = 500 * 2^(3t)

Answer

P = 500 * 2^t

Answer

P = 500 * 2^(t/20)

Answer

P = 500 * (2t)

Question 2

A student measures the length of a copper wire at different temperatures and plots the data on a graph with temperature on the x-axis and length on the y-axis. A line of best fit is drawn that is linear and has a positive slope. What does the slope of this line represent?

Accepted Answer

The rate at which the wire's length changes per degree Celsius

Answer

The initial length of the wire at 0°C

Answer

The final temperature of the wire

Answer

The total change in the wire's length

Question 3

An environmental scientist uses a computer model to predict the spread of a pollutant in a river. Which of the following is a primary limitation of using such a computational model?

Accepted Answer

The model's accuracy is dependent on the assumptions and data used to build it.

Answer

The model can process large amounts of data faster than a human.

Answer

The model can simulate scenarios that are too dangerous to test in reality.

Answer

The model can visualize complex data in an easy-to-understand format.

Question 4

A physics class finds that the force applied to a cart and its acceleration are directly proportional. If a force of 10 N results in an acceleration of 2 m/s², what force is required to produce an acceleration of 5 m/s² on the same cart?

Accepted Answer

25 N

Answer

15 N

Answer

20 N

Answer

50 N

Question 5

A student collects the following data for the volume of a gas at constant pressure: Temperature (K): 200, 300, 400, 500; Volume (L): 4, 6, 8, 10. Which mathematical statement best describes the relationship between temperature (T) and volume (V)?

Accepted Answer

V = 0.02 * T

Answer

V = T + 196

Answer

V = T / 50

Answer

V = 2 * T

Question 6

When analyzing a large dataset of star brightness over time, an astronomer uses a computer algorithm to filter out 'noise' from atmospheric interference. This use of computational thinking is an example of:

Accepted Answer

Abstraction

Answer

Decomposition

Answer

Pattern recognition

Answer

Algorithm design

Question 7

A chemist calculates the density of a substance by dividing its mass (15.50 g) by its volume (5.2 cm³). Using the rules for significant figures, how should the density be reported?

Accepted Answer

3.0 g/cm³

Answer

3 g/cm³

Answer

2.98 g/cm³

Answer

2.9808 g/cm³

A biologist is studying the population growth of a specific bacteria that doubles every 20 minutes.If the initial population is 500 bacteria, which mathematical expression correctly models the population (P) after 't' hours?

A biologist is studying the population growth of a specific bacteria that doubles every 20 minutes.
If the initial population is 500 bacteria, which mathematical expression correctly models the population (P) after 't' hours?