Final answer:
The expression to determine the total amount Joe spent on gasoline and oil is 2.85 * g + 3.15 * c. If Joe bought 8.4 gallons of gasoline and 6 cans of oil, he will have spent 42.84 dollars in total.
Step-by-step explanation:
Part A: To determine the total amount Joe spent on gasoline and oil, we need to calculate the cost of gasoline and the cost of oil separately, and then add them together.
The expression to calculate the cost of gasoline is: 2.85 * g, where 'g' represents the number of gallons of gasoline Joe bought.
The expression to calculate the cost of oil is: 3.15 * c, where 'c' represents the number of cans of oil Joe bought.
Therefore, the expression to determine the total amount Joe spent is: 2.85 * g + 3.15 * c.
Part B: If Joe bought 8.4 gallons of gasoline and 6 cans of oil, we can substitute these values into the expression we derived in Part A.
The total amount Joe spent can be calculated as follows:
Total amount spent = 2.85 * 8.4 + 3.15 * 6
Simplifying the expression:
Total amount spent = 23.94 + 18.90
Total amount spent = 42.84 dollars