Final answer:
The unit rate that compares the length of the table in the real dining room to the dollhouse table is 20 to 1, indicating that the real table is 20 times longer than the dollhouse table.
Step-by-step explanation:
To find the unit rate that compares the length of the table in Heidi's real dining room to the length of the table in the dollhouse, we need to express both lengths in the same unit and then divide the real table length by the dollhouse table length.
First, we will convert the real dining table length from feet to inches because the dollhouse table is measured in inches. There are 12 inches in a foot, so the real dining table is 10 feet x 12 inches/foot = 120 inches long.
Now, we can calculate the unit rate by dividing the length of the real table by the length of the dollhouse table:
Unit rate = Real table length (in inches) / Dollhouse table length (in inches)
Unit rate = 120 inches / 6 inches
Unit rate = 20
Therefore, the unit rate is 20 to 1, meaning the real dining table is 20 times longer than the dollhouse table.