Question

You and your friend are selling magazine subscriptions for a fundraiser. After w weeks, you have sold (3w+4) subscriptions and your friend has sold (5w+1) subscriptions.

Write an expression in simplest form that represents the difference between the number of subscriptions your friend has sold and the number you have sold.
A) 2w - 3
B) 2w + 3
C) 3 - 2w
D) 3w - 2

Answer 1

The simplest expression for the difference in the number of subscriptions sold between a student and their friend after w weeks is 2w - 3.

Step-by-step explanation:

To find the difference between the number of subscriptions your friend has sold and the number you have sold, we can set up an expression: (5w + 1) - (3w + 4). This can be simplified by distributing the negative sign and combining like terms.

First, distribute the negative sign:
(5w + 1) - 1*(3w) - 1*(4)

Now, combine like terms:
5w - 3w + 1 - 4.

After simplification, we get 2w - 3.

The simplest form of the expression that represents the difference between the number of subscriptions your friend has sold and the number you have sold after w weeks is 2w - 3.