Question

shay rides a bike at a constant speed. she rides 24 miles in 2 hours. the constant of proportionality is 12. this means shay bikes 12 miles every hour. use the constant of proportionality to fill in the table below.
hours \t miles
2 \t ×12 \t 24
1 \t ×12 \t 12
4.5 \t \t
8 \t \t

Explanation:

Step1: Calculate miles for 4.5 hours

To find the miles for 4.5 hours, multiply the number of hours by the constant of proportionality (12). So, $4.5\times12$.
$4.5\times12 = 54$

Step2: Calculate miles for 8 hours

To find the miles for 8 hours, multiply the number of hours by 12. So, $8\times12$.
$8\times12 = 96$

Answer:

For 4.5 hours, the miles are 54. For 8 hours, the miles are 96. So the table should be filled with 54 (for 4.5 hours) and 96 (for 8 hours).