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 :

Answer: So, the relationship with i hours as the indecent variables would be [tex]y=120i[/tex]

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

Step-by-step 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 = [tex]\dfrac{60}{0.5}=120\ sq.\ feet[/tex]

In i hours, she can paint = [tex]120\times i\ sq.\ feet=120i\ sq.\ feet[/tex]

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

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

[tex]y=120i[/tex]

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.

[tex]400= 120\times 3.5\\\\400\neq 420[/tex]

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

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