A student has a 70-day period to allocate between free time and work. Their maximum possible consumption is $6,300 if they take zero days of free time, and $0 if they take all 70 days as free time. The trade-off between their free time and consumption is represented by a straight line. Which of the following combinations of free time and consumption is both affordable for the student and leaves them with some unspent budget?

A student's affordable options are defined by a straight-line boundary connecting the points (0 days of free time, $6,300 of consumption) and (70 days of free time, $0 of consumption). Based on this information, a combination of 30 days of free time and $4,000 of consumption is an impossible choice for the student.

Calculating Opportunity Cost from a Budget Constraint

A student has a 70-day period to allocate between free time and work. By forgoing all free time, they can achieve a maximum consumption of $6,300. The trade-off between their free time and consumption is represented by a straight line. Now, suppose the student receives a one-time scholarship of $700 that they can spend regardless of how much they work. How does this scholarship affect the student's set of affordable combinations?

A student has a 70-day period to allocate between free time and work. Their affordable options are represented by a straight-line boundary connecting the point of 70 days of free time and $0 of consumption with the point of 0 days of free time and $6,300 of consumption. If the amount of consumption the student can gain for each day of free time they give up were to increase, how would their set of affordable options change?

A student's affordable combinations of free time and consumption are represented by a budget constraint line on a graph, with free time on the horizontal axis and consumption on the vertical axis. Match each economic event to its corresponding effect on the budget constraint.

A student's set of affordable combinations of free time and consumption is represented by a straight-line boundary connecting two points: (0 days of free time, $6,300 of consumption) and (70 days of free time, $0 of consumption). Based on this, the amount of consumption the student must give up for each additional day of free time they take is $____.

Evaluating a Financial Goal

Consider two students, Alex and Ben, who face different trade-offs between free time and consumption over a specific period.

• Alex has 70 days available. If Alex takes 0 days of free time, they can consume $6,300. If they take all 70 days as free time, their consumption is $0.
• Ben has 80 days available. If Ben takes 0 days of free time, they can consume $5,600. If they take all 80 days as free time, their consumption is $0.

Assuming a constant rate of trade-off for both students, which statement accurately compares their sets of possible options?

A student has a 70-day period to allocate between free time and work. If they dedicate all 70 days to work, they can achieve a maximum consumption of $6,300. The trade-off between their free time and consumption is represented by a straight line. Now, imagine the period is shortened to only 50 days, but the rate at which they can trade free time for consumption remains the same. What is the new maximum consumption the student can achieve if they take zero days of free time?