shark is born measuring 21 inches in length. After 2 months, the shark is now 55 inches long.

If x is the age of the shark in months, then y is the length of the shark in inches.

At what rate is the shark growing? State your answer as a reduced fraction.

inches per month

Find an equation of a line in the form y = mx + b that describes the shark's length.

A line is a one-dimensional shape that is straight. The equation of the line that describes the shark's length is y=17x+21.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

Given when the shark was born the length of the shark was 21 inches, therefore, the coordinates can be written as (0,21).

Similarly, the length of the shark is 55 inches, while the age of the shark is 2 months. Therefore, the coordinates can be written as (2,55).

Now, the slope of the line can be written as,

m = (55-21)/(2-0) = 17

Now, the equation of the line can be written as y=17x+c, further, substitute the value of any point in the equation of the line, therefore,

21=17(0)+c

c=21

Hence, the equation of the line that describes the shark's length is y=17x+21.

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