Question

Charlie and Steven are tracking the number of kilometers they bike. Charlie had already biked 10 km, and continued biking 5 km per day. Steven had already biked 5 km, and continued biking 10 km per day.
Write an equation that represents y, the total number of kilometers Charlie has biked after x days.
Excellent!
Complete the table below with the total number of kilometers Charlie bikes, y, after x days. You can solve on paper and then enter your answer on Zearn.
y = 10 + 5x

Days (x) Total km (y)
1
3
5

Answer 1

The equation that represents the total number of kilometers Charlie has biked after \( x \) days is given by:

\[ y = 10 + 5x \]

Now, we can complete the table by calculating \( y \) for each value of \( x \).

1. For \( x = 1 \):
\[
y = 10 + 5(1) = 10 + 5 = 15
\]

2. For \( x = 3 \):
\[
y = 10 + 5(3) = 10 + 15 = 25
\]

3. For \( x = 5 \):
\[
y = 10 + 5(5) = 10 + 25 = 35
\]

Now we can fill in the table:

| Days (x) | Total km (y) |
|----------|---------------|
| 1 | 15 |
| 3 | 25 |
| 5 | 35 |

So the completed table is as follows:

- **Days (x)** | **Total km (y)**
- 1 | 15
- 3 | 25
- 5 | 35