Final Answer:
The correct equation to represent the time (T) it takes Loren and Mo to assemble the table (x) and chairs (y) is C) 2x + 2y = T.
Step-by-step explanation:
In this problem, the time to assemble the table is denoted by (2x) (2 hours for the table), and the time to assemble each chair is (40y) (40 minutes per chair). The total time (T) is the sum of these two times. Therefore, the correct equation is 2x + 40y = T.
However, to express the total time in minutes and considering that 1 hour is equivalent to 60 minutes, we convert the table assembly time to minutes by multiplying it by 60. This gives us (2x) representing 120 minutes for the table. Hence, the equation becomes 120 + 40y = T, which simplifies to 2x + 2y = T. Thus, the correct answer is C) 2x + 2y = T.
It's important to understand the units and convert them consistently. The equation C) accurately reflects the total time in minutes for assembling the table and chairs. The other options either do not account for the conversion from hours to minutes or incorrectly combine the times for the table and chairs.
In summary, the equation 2x + 2y = T is the appropriate representation for the total time it takes Loren and Mo to assemble the table and chairs, ensuring proper consideration of units and accurate calculation.