College Degrees. The percentage B(t) of women ages 25 and...

College Degrees. The percentage $B(t)$ of women ages 25 and older in the United States who hold a bachelor's degree or higher $t$ years after 1990 can be approximated by $$ B(t)=0.48 t+18 $$ Using an inequality, determine those years for which more than $40 \%$ of women ages 25 and older in the United States will hold a bachelor's degree or higher.

College Degrees. The percentage $B(t)$ of women ages 25 and older in the United States who hold a bachelor's degree or higher $t$ years after 1990 can be approximated by
$$
B(t)=0.48 t+18
$$
Using an inequality, determine those years for which more than $40 \%$ of women ages 25 and older in the United States will hold a bachelor's degree or higher.

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Key Concepts

Inequalities

Inequalities are mathematical expressions that assert the relative size or order of two values, typically using symbols such as >, <, ?, or ?. Solving inequalities involves finding the set of values for the variable that make the inequality true, and is an essential skill in determining thresholds or limits in various contexts.

Interpreting Real-World Models

Interpreting real-world models involves understanding how mathematical equations, such as linear functions, represent and predict trends or behaviors in practical situations. This includes analyzing the implications of the model's parameters and using the model to make informed decisions or predictions based on real data.

Linear Functions

A linear function is a mathematical model in which the relationship between two variables is represented by a simple equation of the form y = mx + b, where m is the slope and b is the y-intercept. This concept is crucial for modeling situations where change occurs at a constant rate over time or another variable.

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