Final answer:
To calculate the increase in daily income from the private rooms at the hospital from 1990 to 1994, multiply the number of rooms, r, by the increased cost per room of $80, to get the expression $80r.
Step-by-step explanation:
The question asks us to find the total additional daily income for a hospital from private rooms in 1994 as compared to 1990. Given that the cost of a private room increased from $600 in 1990 to $680 in 1994 and there are r private rooms in the hospital, we can represent the increase in daily income for one room as $680 - $600 = $80. Therefore, the additional income for all r rooms is $80 × r.
To represent this as a variable expression, we multiply the number of rooms r by the increase in cost per room $80, resulting in the expression $80r. This represents the additional money the hospital received daily for all the private rooms in 1994 compared to 1990.