Assignment: cell size exploration

cell length of one side area of one side of the cube
(l × w) surface area (area of one side × 6 sides) volume
(l × w × h) surface area / volume ratio of surface area to volume
(for example, 5: 1)
a 1 cm
b 2 cm
c 3 cm

refer to your data table to answer these questions.

1. what happens to the ratio of surface area to volume as the cell size increases without the cell changing shape?

2. what does a surface area/volume ratio of 6: 1 mean for the cell’s ability to get the materials it needs that move across its surface?

3. what does a surface area/volume ratio of 3: 1 mean for a cell’s ability to get materials across its membrane, compared to the cell with a ratio of 6: 1?

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answer-

the statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.

solution-

it solely depends on b, whether the function will have one or two or zero x intercept.

this plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e v shape, with vertex translated to (-a, b), instead of origin.

1-   if b is zero, the graph will have exactly one x-intercept, at x= -a

2- if b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- if b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ the statement is sometimes true.

1) a

2)c

3)a

4)c

5)b

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