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.

Answer 1

To represent the total number of kilometers Steven has biked after \( x \) days, we can formulate an equation similar to the one we created for Charlie.

Since Steven started with 5 km and continues biking 10 km each day, we can write the equation as:

\[ y = 5 + 10x \]

Now, let's fill in the table for Steven's total kilometers after \( x \) days:

Days (x) | Total km (y) --------- | ------------- 1 | \( 5 + 10(1) = 5 + 10 = 15 \) 3 | \( 5 + 10(3) = 5 + 30 = 35 \) 5 | \( 5 + 10(5) = 5 + 50 = 55 \)

So, the completed table for Steven is:

Days (x) | Total km (y) --------- | ------------- 1 | 15 3 | 35 5 | 55

If you have more questions or if you'd like to graph these points, let me know!