Question

A sailboat travels 3 miles in 1.5 hours. The table below shows the distance traveled by the boat at various times. Complete the table.

Answer 1

We can fit the data to a linear model of the form:

y = kx

To find the value of k, we can solve for it from the above equation, like this:

y=kx

y/x=kx/x

y/x=k

k=y/x

By taking the pair (1.5 , 3), we can find k like this:

k= 3/1.5 = 2

Now that we know the value of k, we can use the above formula y=kx and substitute each value of time from the table and then calculate the corresponding distance, like this:

with time equals 0.5 h

y=2*0.5=1

With time equals 1 h

y=2*1=2

With time equals 2 h

y=2*2=4

With time equals 2.5

y=2*2.5=5

With time equals 3

y=2*3=6

Then, the table with the missing values looks like this: