Question

Serena estimates that she can paint 60 square feet of wall space every half -hour .Write a equations for the relationship with time i hours as the indecent variables .Can Serena paint 400 square feet of wall space i. 3.5 hours

Answer 1

Answer: So, the relationship with i hours as the indecent variables would be
`y=120i`

Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

Explanation:

Since we have given that

Area that she can paint = 60 square feet

Time taken = half hour = 30 minutes = 0.5 hours

Using "Unitary method, we get that

In 0.5 hours, she can paint = 60 square feet

In 1 hour, she can paint =
`(60)/(0.5)=120\ sq.\ feet`

In i hours, she can paint =
`120* i\ sq.\ feet=120i\ sq.\ feet`

Let the total area she can paint be 'y'.

So, the relationship with i hours as the indecent variables would be

`y=120i`

Now, Can Serena paint 400 square feet of wall space i. 3.5 hours

We put y = 400 and i = 3.5 hours to check whether it is equal or not.

`400= 120* 3.5\\\\400\\eq 420`

Hence, Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.