Question

Find the constant of proportionality and the unit rate for the data in the table. Then write an equation to represent the
relationship between time t and distance d.

Answer 1

from here you see that \[d \alpha t\]

Answer 2

\[d=kt\]

Answer 3

we substitute the values from the table in the equation and observe any similarities or differences

Answer 4

now time changes by 2 until last time

Answer 5

changes in d and changes in t is very important

Answer 6

\[\Delta d=k \Delta t\]

Answer 7

\[\int\limits_{d_0}^{d_1} \Delta d = \int\limits_{t_0}^{t_1} k \Delta t\]

Answer 8

\[d_1-d_0=k(t_1-t_0)\]

Answer 9

lets take 135-90=k(3-2)

k=45

lets take 225-135=k(5-3)

k=90/2=45
there4 k=45 can be confirmed

Answer 10

\[k=45\]

Answer 11

can you see the equation above

Answer 12

@Xero1999 can you see the answer

Answer 13

i think the constant of propotionality is the unit rate

Answer 14

Yes i do Thanks a lot!