Wendy stood on a number line and threw a football 7 feet to the left to her friend Anna. Anna threw the football 4 feet past Wendy on the number line as shown.

Question

Wendy is at 0.

How far did Anna throw the football?

A.
−
11
feet

B.
4
feet

C.
11
feet

D.
−
7
feet

Answer 1

To analyze the problem, let's break it down step-by-step based on the information provided:

1. Wendy's Position: Wendy is at position 0 on the number line.

2. Wendy Throws the Football: Wendy throws the football 7 feet to the left. In terms of coordinates, moving left on the number line means subtracting from 0. So, after Wendy throws the football, it lands at: \[ 0 - 7 = -7 \] Therefore, Anna is now at position -7.

3. Anna Throws the Football: Anna then throws the football 4 feet past Wendy. Since Wendy is at 0, throwing 4 feet past her means going 4 feet further to the right, which involves adding 4 to Wendy's position: \[ 0 + 4 = 4 \]

   We can also think of Anna's position (-7) and the distance she threw it. To throw it 4 feet past Wendy (at position 0), Anna needs to effectively throw it to position 4. Since she is at -7, the distance thrown is: \[ 4 - (-7) = 4 + 7 = 11 \text{ feet} \]

Thus, the answer is C. 11 feet.