Destiny and Justin each biked at a steady pace. Destiny biked 1 km in 2 minutes, and Justin biked 2 km in 8 minutes.

Begin completing the table for Justin by filling in the information you know.

Justin's bike rideTime in minutes, xDistance in km, y00

1 answer

To complete the table for Justin, we first need to determine his biking speed and then fill in the relevant information.

Justin biked 2 km in 8 minutes. We can calculate his speed as follows:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{2 \text{ km}}{8 \text{ minutes}} = \frac{1 \text{ km}}{4 \text{ minutes}} = 0.25 \text{ km/min} \]

Given this speed, we can find Justin's distance when given a time, or vice versa.

Now, we can complete Justin's bike ride table based on the time and distance relationship. Let's start with the values we know and fill in the table accordingly.

| Time in minutes (x) | Distance in km (y) | |----------------------|---------------------| | 0 | 0 | | 4 | 1 | | 8 | 2 | | 12 | 3 | | 16 | 4 |

  • At 0 minutes, Justin has biked 0 km.
  • At 4 minutes, he bikes 1 km (0.25 km/min × 4 min).
  • At 8 minutes, he has biked 2 km (as already given).
  • At 12 minutes, he will have biked 3 km (0.25 km/min × 12 min).
  • At 16 minutes, he will have biked 4 km (0.25 km/min × 16 min).

You can add more rows if you would like to extend the table further based on the same rate.