Question

Complete the table by filling in the missing values. Time Sloth is Walking (min) 6 4 1 Total Distance Traveled (ft) 24 60 18 2. What is the Constant of Proportionality for this relationship?

Answer 1

`\begin{gathered} \text{This problem is a direct proportion problem} \\ so\text{ that Time(min) }\propto\text{ Total distance travelled(ft)} \end{gathered}`
`\begin{gathered} t=kd \\ t\text{ =4} \\ d=24 \\ 4\text{ = 24k} \\ k\text{ = }(4)/(24)=(1)/(6) \\ t\text{ = }(1)/(6)d \end{gathered}`

Now we have the constant of proportionality, we can fill the table in (1)

if t=6,

6 = 1/6 x d

d = 36 ft

if d = 60 ft

t = 1/6 x 60

t = 10 mins

If d =18 ft

t = 1/6 x 18

t = 3 mins

If t = 1

1= 1/6 x d

d = 6 ft

Now let me draw the table and insert the values we just got