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.

Wendy is at 0.

How far did Anna throw the football?

A.

11
feet

B.
4
feet

C.
11
feet

D.

7
feet

1 answer

Let's analyze the situation step by step.

  1. Wendy starts at position 0 on the number line.
  2. She throws the football 7 feet to the left. Since left is in the negative direction, Wendy's friend Anna will be at position:
    \[ 0 - 7 = -7 \] So Anna is at -7 on the number line.
  3. Anna then throws the football 4 feet past Wendy. Since Wendy is at position 0, throwing 4 feet past Wendy means moving to the right from Anna's position (-7) to position 0 and then 4 feet further: \[ -7 + 4 = -3 \]

This means Anna threw the football 4 feet to reach Wendy at 0, and since the direction of the throw is from -7 to 0, the total distance Anna threw the football can be calculated as:

\[ -7 \text{ (where Anna started)} \text{ to } 0 \text{ (where Wendy is)} = 4 \text{ feet} \]

Since she then continued to go to the right an additional 4 feet, the total number of feet Anna threw from her position to Wendy's position plus the additional 4 feet is:

To clarify:

  • From -7 to 0 is 7 feet (to reach Wendy)
  • Then an additional 4 feet further to +4.

Thus, Anna threw the ball from -7 to +4:

\[ -7 - 0 + 4 = -7 + 4 = -3 \]

So, to find how far Anna threw in total from where she started, it is:

\[ -7 to 0 = +7 feet then 4 = 11 feet in total. \]

So we here see the throw in total was:

So the answer for how far Anna threw the football is:

C. 11 feet