Write the Expression with Only Positive Exponents and Evaluate If $$- \frac { 2 } { 3 } \left( - \frac { 15 } { 4 } y - \frac { 3 } { 10 } x + \frac { 3 } { 4 } \right)$$

question 34

Multiple Choice

Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real
numbers.
- $$- \frac { 2 } { 3 } \left( - \frac { 15 } { 4 } y - \frac { 3 } { 10 } x + \frac { 3 } { 4 } \right)$$

• A) \(\frac { 5 } { 2 } y + \frac { 1 } { 5 } x + \frac { 1 } { 2 }\)
• B) \(\frac { 5 } { 2 } y + \frac { 1 } { 5 } x - \frac { 1 } { 2 }\)
• C) \(\frac { 5 } { 2 } y - \frac { 1 } { 5 } x - \frac { 1 } { 2 }\)
• D) \(\frac { 5 } { 2 } y - \frac { 1 } { 5 } x + \frac { 1 } { 2 }\)

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Definitions:

LRMC

Long-Run Marginal Cost, which refers to the change in total production costs that comes from producing one additional unit of a good or service when all inputs are variable.

SRMC

Short-Run Marginal Cost (SRMC) is the cost to produce one additional unit of output when some inputs are fixed.

Grocery Store

A retail establishment that sells food and other household items.

Traffic

The movement of vehicles or people through roads, airways, or any pathway, often used to describe the congestion or flow in transport systems.