Final answer:
Rodney packages and ships 416 cards in an 8-hour workday, equating to a rate of 52 cards per hour. The equation representing this rate is c = 52h, where h is the number of hours worked and c is the total number of cards.
Step-by-step explanation:
The student is asking for an equation to represent the rate at which Rodney packages and ships cards, based on an eight-hour workday.
To create this equation, we need to determine Rodney's rate of packaging per hour (cards per hour). Rodney can package and ship 416 cards in 8 hours. Therefore, we calculate the rate by dividing the total number of cards by the number of hours:
Rate = Total cards / Total hours
Rate = 416 cards / 8 hours
Rate = 52 cards/hour
Now, we can represent this rate with an equation. Let h represent the hours Rodney works and c represent the total number of cards:
c = 52h
This equation indicates that the total number of cards Rodney can package is 52 times the number of hours he works.