Serena estimates that she can paint 60 square feet of wall space every half -hour .Write a equations for the relationship with t

Question

1 month ago

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ime i hours as the indecent variables .Can Serena paint 400 square feet of wall space i. 3.5 hours

1 answer:

Inessa [12.5K] · Answer 1 · 2026-03-28T11:27:06+03:00

Response: Therefore, the connection with i hours being the independent variable is $y=120i$

Serena is unable to paint 400 square feet of wall area within 3.5 hours.

Detailed explanation:

It's provided that

The area she can paint = 60 square feet

Time taken = half an hour = 30 minutes = 0.5 hours

Applying the "Unitary method, it leads to

In 0.5 hours, she is capable of painting = 60 square feet

In 1 hour, she can paint = $\dfrac{60}{0.5}=120\ sq.\ feet$

In i hours, she is able to paint = $120\times i\ sq.\ feet=120i\ sq.\ feet$

Let’s denote the total area she can paint as 'y'.

Thus, the connection with i hours treated as the independent variable would be

$y=120i$

Now, Can Serena paint 400 square feet of wall area in 3.5 hours

Substituting y = 400 and i = 3.5 hours helps us determine if they are equivalent.

$400= 120\times 3.5\\\\400\neq 420$

Therefore, Serena cannot paint 400 square feet of wall space in 3.5 hours.