Final answer:
To determine the number of driveways Joseph shoveled, we can create the equation 7d + 8(6) = 101, where 'd' represents the number of driveways. Solving the equation gives us approximately 7.57 driveways, rounded to the nearest whole number, which means Joseph shoveled about 8 driveways.
Step-by-step explanation:
To create an equation that determines the number of driveways Joseph shoveled last week, we need to consider the total amount he earned. We know that Joseph earned $7 for each driveway he shoveled and $8 for each tree he trimmed. Last week, he trimmed 6 trees and earned $101. Let's use the variable 'd' to represent the number of driveways he shoveled.
The equation can be written as: 7d + 8(6) = 101. Solving this equation will give us the number of driveways Joseph shoveled.
7d + 48 = 101
7d = 101 - 48
7d = 53
d = 53/7
d ≈ 7.57 (rounded to the nearest whole number)
Therefore, Joseph shoveled approximately 8 driveways last week.