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.

Part B:Is the relationship proportional?

Part c:Write an equation for relationship.

I need help!!!

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

A. Table is mentioned below.

B. Yes, it is a proportional relation.

C.
`y=(1)/(24)x`

Explanation:

Part C : We know that,

1 day = 24 hours,

`\implies 1\text{ hour}=(1)/(24)\text{ day}`

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

`\implies y = (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=(1)/(24)(0)` ( True )

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