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pochemuha
1 year ago
15

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
Mathematics
1 answer:
jasenka [17]1 year ago
7 0

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.

the complete question is

A rectangle has a fixed width of 8 inches and a length of 0 inches. The length of the rectangle then begins increasing at 2.4 inches per second.

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.

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.

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.

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.

learn more of perimeter here brainly.com/question/14128446

#SPJ4

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