Questions: A skateboarder travels at a constant speed. The table below shows the proportional relationship Distance in miles Time in hours, y ------ 18 3 35 8 35 7 45 9 85 11 The constant of proportionality is 1 2 3 4 5 6 7 8 9 0 Enter

Solution Steps

The table shows a proportional relationship between distance (in miles) and time (in hours). The constant of proportionality \( k \) can be calculated using the formula:

\[ k = \frac{\text{Distance}}{\text{Time}} \]

Using the first row of the table: \[ k = \frac{18}{3} = 6 \]

Using the second row of the table: \[ k = \frac{35}{8} = 4.375 \]

Using the third row of the table: \[ k = \frac{35}{7} = 5 \]

Using the fourth row of the table: \[ k = \frac{45}{9} = 5 \]

Using the fifth row of the table: \[ k = \frac{85}{11} \approx 7.727 \]

The values of \( k \) calculated from the table are not consistent. This suggests that there might be an error in the table or that the relationship is not perfectly proportional. However, the most consistent value of \( k \) is \( 5 \), as it appears twice in the calculations.

Final Answer