The table shows the number of calories in four meals and the cost of each meal. A 2-column table with 4 rows. The first column i

Response: Therefore, the connection with i hours being the independent variable is

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 =

In i hours, she is able to paint =

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

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

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.

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

71 5/8

To determine which functions depict the arithmetic sequence 8, 1.5, -5, -11.5,... follow these steps:

<span>f(n) = –6.5n + 14.5... correct
f(1) = 8
f(2) = 1.5
f(3) = -5
f(4) = -11.5

f(n) = –1.5n + 9.5... incorrect
f(1) = 8
f(2) = 6.5

f(n) = 6.5n + 1.5... incorrect
f(1) = 8
f(2) = 14.5

f(1) = 8, f(n + 1) = f(n) – 6.5... correct
f(2) = 8 - 6.5 = 1.5
f(3) = 1.5 - 6.5 = -5
f(4) = -5 - 6.5 = -11.5

f(1) = 8, f(n + 1) = f(n) – 1.5... incorrect
f(2) = 8 - 1.5 = 6.5

f(1) = 8, f(n + 1) = f(n) + 6.5... incorrect
f(2) = 8 + 6.5 = 14.5

The valid functions are:
</span>f(n) = –6.5n + 14.5 and f(1) = 8, f(n + 1) = f(n) – 6.5.