problem 10: spiral review\na bicycle travels 21 meters in 3 seconds.\nwhat is a constant of proportionality…

Explanation:

Step1: Recall the formula for constant of proportionality

For a proportional relationship (y = kx) (here (y) is distance and (x) is time), the constant of proportionality (k=\frac{y}{x}).

Step2: Substitute values from the first row of the table

Given (y = 21) meters and (x = 3) seconds. Then (k=\frac{21}{3}).

Step3: Calculate the value

(\frac{21}{3}=7). We can check with the second row: (x = 1\frac{1}{2}=\frac{3}{2}) seconds and (y = 10.5) meters. (k=\frac{10.5}{\frac{3}{2}}=10.5\times\frac{2}{3}=\frac{21}{3} = 7). For the third row: (x = 0.9) seconds and (y=6\frac{3}{10}=6.3) meters. (k=\frac{6.3}{0.9}=7)

Answer:

(7)