Question

to save money, taylor decided not to go to a concert where her favorite musician was performing. what was the opportunity cost of that decision?

• spending time at home
• having extra money
• having fun at the concert
• having time to study

question 10
it takes you half an hour to do a math assignment and two hours to do an english assignment. what is the opportunity cost of you doing two math assignments?

• 1 english assignment
• 2 english assignments
• 1/4th of an english assignment
• 1/2 of an english assignment

Explanation:

First Question (Taylor's Concert Decision)

Opportunity cost is the value of the next - best alternative forgone. Taylor decided not to go to the concert to save money. The next - best thing she gave up was the fun she would have had at the concert. Spending time at home, having extra money, or having time to study are not the main thing she gave up (having extra money is the benefit of her decision, not the cost; spending time at home and having time to study are not the primary alternative related to the concert).

Step 1: Calculate time for two Math assignments

It takes 0.5 hours for one Math assignment. For two Math assignments, the time is $2\times0.5 = 1$ hour.

Step 2: Relate Math assignment time to English assignment time

An English assignment takes 2 hours. Let $x$ be the fraction of an English assignment equivalent to 1 hour. We set up the proportion $\frac{1\ hour}{2\ hours}=x$. Solving for $x$, we get $x = \frac{1}{2}$? Wait, no. Wait, if we spend 1 hour on Math (for two assignments), and an English assignment takes 2 hours, then the number of English assignments we could have done in 1 hour is $\frac{1}{2}$? Wait, no, wait. Wait, 1 hour is half of 2 hours. So in the time it takes to do two Math assignments (1 hour), we could have done $\frac{1}{2}$ of an English assignment? Wait, no, wait, let's re - calculate. Wait, one Math assignment: 0.5 hours. Two Math assignments: $2\times0.5 = 1$ hour. An English assignment is 2 hours. So the number of English assignments we give up by doing two Math assignments is $\frac{1\ hour}{2\ hours\ per\ English\ assignment}= 0.5$ (or $\frac{1}{2}$) of an English assignment? Wait, no, wait, the options have 1 English assignment. Wait, maybe I made a mistake. Wait, 0.5 hours per Math assignment. Two Math assignments: $2\times0.5 = 1$ hour? No, wait, 0.5 hours is 30 minutes. Two Math assignments: 302 = 60 minutes = 1 hour. An English assignment is 2 hours (120 minutes). Wait, no, maybe the problem is in hours. Wait, if we spend 1 hour on Math (two assignments), and an English assignment is 2 hours, then the number of English assignments we could have done is $\frac{1}{2}$? But the option is 1 English assignment. Wait, wait, maybe I messed up the time calculation. Wait, 0.5 hours per Math assignment. Two Math assignments: $2\times0.5=1$ hour? No, 0.5 hours is half an hour. So two Math assignments: 2(0.5 hours) = 1 hour? Wait, no, 0.5 hours is 30 minutes. So two Math assignments: 30*2 = 60 minutes = 1 hour. An English assignment is 2 hours (120 minutes). So in 1 hour, we can do $\frac{1}{2}$ of an English assignment? But the options have 1 English assignment. Wait, maybe the time for a Math assignment is 1 hour? Wait, the problem says "half an hour to do a Math assignment". Wait, maybe I misread. Wait, let's re - examine the problem: "It takes you half an hour to do a Math assignment and two hours to do an English assignment. What is the opportunity cost of you doing two Math assignments?"

Wait, two Math assignments: 2(0.5 hours) = 1 hour. An English assignment is 2 hours. So the number of English assignments we could have done in 1 hour is $\frac{1\ hour}{2\ hours\ per\ English\ assignment}=0.5$ (i.e., $\frac{1}{2}$) of an English assignment? But the options have "1 English assignment". Wait, maybe the time for a Math assignment is 1 hour? No, the problem says half an hour. Wait, maybe I made a mistake in the concept. Opportunity cost is what you give up. So if you do two Math assignments (taking 1 hour), you give up the chance to do part of an English assignment. Wait, the options: 1 English assignment, 2 English assignments, 1/4 of an English assignment, 1/2 of an English assignment. Wait, let's calculate again. Time for two Math assignments: 2 0.5 = 1 hour. Time for one English assignment: 2 hours. So the ratio of time for two Math assignments to time for one English assignment is $\frac{1}{2}$. So the opportunity cost is $\frac{1}{2}$ of an English assignment? Wait, no, wait, maybe the question is asking how many English assignments you could have done. Wait, if you spend 1 hour on Math (tw…

Answer:

C. having fun at the concert

Second Question (Assignment Opportunity Cost)