As the number of cats in a barn increases, the number of mice in the barn decreases. What sign does the rate of change have?

Topic 1.1 – Change in Tandem Functions in context; independent and dependent variables; increasing/decreasing behavior; zeros and intercepts.

Select all situations that represent a positive rate of change.

Topic 1.3 – Rates of Change in Linear and Quadratic FunctionsConstant linear rates; quadratic changes in average rates of change; concavity from tables.

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The table gives distance as a function of time.t (minutes)310214355d(t) (meters)5102135140143Find the average rate of change on the interval 10 ≤ t ≤ 43. Then interpret your answer in context and include units.This response is scored 0-4 using the course mastery rubric.

The table gives distance as a function of time.t (seconds)10131925d(t) (meters)80764330What is the average rate of change from t = 13 to t = 25 seconds? Round to the nearest hundredth.

b(s) is a function where b is the number of books in the library and s is the number of students in the school.What does the independent variable represent?

Which statement best describes a zero of a function f?

If a graph intersects the y-axis at f(0) = e, the output value e is called the ________ of the function.