Question 1127059
the perimeter of a rectangle is equal to 2L + 2W.
the perimeter of the rectangle is represented by P.


P = 2L + 2W


when W is fixed at 8, the perimeter of the rectangle becomes P = 2L + 16


A)Write a formula that expresses the length of the rectangle in inches, l, in terms of the number of seconds t since the rectangle began growing.


time in seconds is represented by T.
the length of the rectangle increases by 2.4 inches every second.


L = 2.4 * T


B)Write a formula that expresses the perimeter of the rectangle in inches, P, in terms of the length of the rectangle in inches, l.


P = 2L + 16


C)Write a formula that expresses the perimeter of the rectangle in inches, P, in terms of the number of seconds t since the rectangle began growing.


P = 2 * 2.4 * T + 16 which becomes P = 4.8 * T + 16


D)Suppose the function g determines the perimeter of the rectangle in inches given a number of seconds t since the rectangle started growing. Write a function formula for g.


g(T) = 4.8 * T + 16


when T = 0, the perimeter of the rectangle is equal to 0 + 16 = 16.


when T = 1, the perimeter of the rectangle is equal to 4.8 + 16 = 20.8.


when T = 2, the perimeter of the rectangle is equal to 9.6 + 16 = 25.6.


etc...


keep in mind that the formula for the perimeter of the rectangleis P = 2 * L + 2 * W.
W is always 8, so the formula becomes P = 2 * L + 16.
L is equal to 2.4 * T, so the formula becomes P = 2 * 2.4 * T + 16.
after simplification, the formula becomes P = 2.8 * T + 16.