Question

Part a:Create a table to show how the number of days is related to the number of hours.Show at least 5 days.

Answer 1

On part a you just create a table so you go 1 day is 24 hrs and two days is 48 hrs and then for part be the answer is yes and in part c it would be k=1/24x

Answer 2

Answer:

A.  Table is mentioned below.

B. Yes, it is a proportional relation.

C. $y=\frac{1}{24}x$

Step-by-step explanation:

Part C : We know that,

1 day = 24 hours,

$\implies 1\text{ hour}=\frac{1}{24}\text{ day}$

Thus, the number of days in x hours( say y ) = hours × number of days in each hour

$\implies y = \frac{1}{24}x$

Which is an equation of line.

Part A :

Hours       1              2           3           4          5      

Days       1/24       1/12        1/8         1/6       5/24

Part B :

∵ a line passes through the origin always shows a proportional relation,

Since, for (0, 0),

$0=\frac{1}{24}(0)$ ( True )

i.e. there is a proportional relation between number of days and number of hours.