options: Represent and model with vector quantities.

Use complex numbers in polynomial identities and equations.

Know that there are numbers that are not rational, and approximate them by rational numbers.

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

Use properties of rational and irrational numbers.

Apply and extend previous understandings of numbers to the system of rational numbers.

Perform arithmetic operations with complex numbers.

Represent complex numbers and their operations on the complex plane.

Compute fluently with multi-digit numbers and find common factors and multiples.

Perform operations on matrices and use matrices in applications.

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Reason quantitatively and use units to solve problems.

Perform operations on vectors.

Extend the properties of exponents to rational exponents.
problem_activity: A red-throated loon is a type of diving bird that dives for its food. One particular loon dives for 8 seconds to a depth of 12 feet under the surface of the water.
a.   Assume the loon dives at a constant rate. Write an equation that can be used to represent the elevation,
$$y$$
, of the loon after
$$x$$
seconds into the dive.
b.   If the loon is at a depth of 22.5 feet under the surface of the water, how long was it diving for?


correct_option_index: 10