Every economic decision has "a consequence or tradeoff" - this final answer choice is correct. Every time that an individual, business, or institution makes an economic decision, they always forgo an opportunity to use the same capital or resources for other endeavors. As such, there is a tradeoff incurred by not making the decision to use the resource in another manner. This is known as opportunity cost and is one of the fundamental tenets of economic theory.
To solve this problem, we have to figure out a rule for the function. We are told that it is a two-step rule, so it is most likely the input multiplied by a coefficient plus a constant. Let’s let the input be represented by the variable x and the output be represented by the variable y. Using our knowledge, we can see that the outputs are close to triple the input, so we set up the preliminary equation:
y = 3x + b,
where b is a constant. If we want to solve for b, we must plug in one of our input/output pairs. If we plug in (5,16), we get the following:
16 = 3(5) + b
16 = 15 + b
1 = b
Then, we should substitute in this value into our equation and check our work.
y = 3x + 1
If we plug in the other points, this equation yields a true statement, so we know it is correct.
Hope this helps!
Answer:
Area = 55 cm2
Step-by-step explanation:
It the base of the parallelogram was 9 centimeters and increased by 2, the new base has 9 + 2 = 11 centimeters.
It the height of the parallelogram was 4 centimeters and increased by 1, the new base has 4 + 1 = 5 centimeters.
Now, we can calculate the area of the parallelogram using the formula:
A = b * h
Where A is the area, b is the base and h is the height. So:
A = 11 * 5 = 55 cm2
