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.

Question

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
Good work!
Next, graph the points you just found on the coordinate plane to show the relationship between the number of days and the total number of kilometers Charlie biked.
Days (x) Total km (y)
1 15
3 25
5 35
Excellent!
Now, consider Steven. Write an equation that represents the total number of kilometers Steven has biked, y, after x days.
Great job!
Complete the table below with the total number of kilometers Steven bikes, y, after x days. You can solve on paper and then enter your answer on Zearn.
y = 5 + 10x

Days (x) Total km (y)
1
2
4

Answer 1

Let's start by using the formula you provided for Steven's biking:

The equation for Steven is \( y = 5 + 10x \).

Now, let's complete the table for Steven's total kilometers biked for the given days:

Table for Steven

| Days (x) | Total km (y) | |----------|---------------| | 1 | \( y = 5 + 10(1) = 5 + 10 = 15 \) | | 2 | \( y = 5 + 10(2) = 5 + 20 = 25 \) | | 4 | \( y = 5 + 10(4) = 5 + 40 = 45 \) |

Thus, the completed table is:

| Days (x) | Total km (y) | |----------|---------------| | 1 | 15 | | 2 | 25 | | 4 | 45 |

Summary

For Steven:

• After 1 day: 15 km
• After 2 days: 25 km
• After 4 days: 45 km

You can now use this information to plot Steven's points on a coordinate plane, just as you did for Charlie.