Question

Emily wants to earn $100. She picks blueberries and is paid d dollars per bucket. She averages 4 buckets per day, and she has already picked blueberries for 5 days. Which expression represents how much more money she needs to earn to meet her goal?

Option 1: 20d
Option 2: 80d
Option 3: 200 - 5d
Option 4: 20(5d - 1)

Answer 1

Emily has already earned 20d dollars from picking blueberries. To reach her $100 goal, she must earn $100 - 20d dollars more. Therefore, the correct expression representing the amount she still needs to earn is 80d.

Step-by-step explanation:

Emily has been picking blueberries for 5 days and makes a certain amount per bucket, denoted by d dollars. Since she picks 4 buckets per day, we can first calculate how much she has already earned by multiplying these two numbers together, resulting in an income of 5 days × 4 buckets/day × d dollars/bucket. Simplifying this expression gives us 20d dollars.

To find out how much more money she needs to earn to reach her goal of $100, we subtract the amount she has already earned (20d) from her goal. Therefore, the expression that represents the amount of money she still needs is 100 dollars - 20d dollars. After simplifying, we get 80d as the correct expression.