A student has 24 hours available each day to allocate between studying (work) and free time. For every hour they study, they earn a hypothetical 'grade point' of 30, which represents their total 'consumption' of academic achievement for the day. Which equation correctly models the relationship between their total grade points (c) and the hours of free time (t) they choose to take?

Calculating Daily Earning Potential

Deconstructing the Budget Constraint

An individual's daily consumption (c) is determined by their hours of free time (t) according to the equation c = 30(24 - t). If this individual receives a one-time, non-work-related payment of $100 for the day, the equation correctly changes to c = 130(24 - t).

Adapting a Budget Model

An individual's daily consumption possibilities are modeled by the equation c = 30(24 - t), where 'c' is total consumption and 't' is hours of free time. In this model, the opportunity cost of taking one additional hour of free time is a loss of $____ in consumption.

An individual's daily consumption possibilities are modeled by the equation c = 30(24 - t), where 'c' is total consumption and 't' is hours of free time. If the hourly wage, represented by the number 30 in the equation, were to increase, what would be the direct effect on the individual's trade-offs?

Interpreting Budget Constraint Endpoints

An individual's daily consumption possibilities are modeled by the equation c = 30(24 - t), where 'c' is consumption and 't' is hours of free time. The government then introduces a policy that provides a fixed daily allowance of $60, regardless of work hours, but also imposes a 50% tax on all wage earnings. Which new equation correctly represents the individual's consumption possibilities?

Evaluating a Simplified Economic Model