The chart shows a production possibilities schedule for Sabrina’s Soccer.
Combination: Soccer balls: Soccer nets:
A 10 0
B 8 1
C 6 2
D 4 3
E 2 4
F 0 5
Which statement correctly explains the chart?
A. The opportunity cost of producing one soccer net is eight soccer balls.
B. The opportunity cost of producing two soccer nets is two soccer balls.
C. The opportunity cost of producing two soccer balls is one soccer net.
D. The opportunity cost of producing four soccer balls is three soccer nets.
The opportunity cost of producing two soccer balls is one soccer net.
Answer: Option 3
<u>Explanation:</u>
Opportunity cost is when a particular option is chosen from the alternatives given, the opportunity cost is the cost incurred by not enjoying the benefit associated with the best alternative choice.
The problem of the opportunity cost occurs because the resources given in the economy are limited in availability and there fore because of that there has to be some choices that are to be made among the alternatives given in the economy.
In this example it shows that for producing two soccer balls, the opportunity cost is one soccer net.
The pattern is that everyday you get 4 more. In other words, everyday you increase by 4.
Example: 0-4, and 5-9, you can see that you add 4 more to get from 0 to 4 or add 4 more to get from 5 to 9
When we want to find the roots of a one-variable function, we look for where its graph intersects the x-axis. In this case, the graph intersects the x-axis at 
The vertex of a parabola is the highest or lowest point on it, depending on whether the leading coefficient of the quadratic function is negative or positive. In this case, we see that the lowest point is 
For the y-intercept, just look for where the graph intersects the y-axis; in this case, that point is 
Using this information, the vertex-form equation of the parabola is 
so the factors are two copies of 
In this case, the value of 
in the equation 
was conveniently 1; if that's not the case, you'll want to plug in 
to solve for the value of a that gives the correct y-intercept.
Does that help clear things up?
Correct answer:
5/64
Step-by-step explanation:
- Multiply the numerators: 10 × 2 = 20
- 16 × 16 = 256
- Put them together: 20/256
- Simplify: 20/256 = 5/64
I hope this helps!
