PLEASE PLEASE HELP i will give brainliest to whoever answers first

Explanation:

We'll need the slope first

Pick any two points from the table and plug them into the slope formula.

I'm going to use the first two rows to get the two points.

m = (y2 - y1)/(x2 - x1)

m = (64-44)/(24-16)

m = (20)/(8)

m = 5/2

m = 2.5

The slope is m = 2.5

Use this slope value with any (x,y) pair in the table. I'll use (x,y) = (16,44)

Plug m = 2.5, x = 16 and y = 44 into the equation below. Solve for b

y = mx+b

44 = 2.5*16 + b

44 = 40 + b

44-40 = b

4 = b

b = 4

The y intercept is b = 4

As an (x,y) point, we say the y intercept is (0, 4). The x coordinate of the y intercept is always 0 since x = 0 for any point on the y axis.

The equation y = mx+b turns into y = 2.5x + 4

This is the same as saying y = (5/2)x + 4

To check this equation works, plugging x = 16 should lead to y = 44.

Plugging in x = 24 should lead to 64

Finally, plugging in x = 32 should lead to 84.

I'll let you do this part.

the answer is:

the correct option is the option b.

to calculate the surface area of the right cylinder, we need to use the following formula:

from the picture we know that:

so, substituting and calculting we have:

hence, we have that the correct option is the option b.

have a nice day!