contestada

Suppose the body length L in inches of a baby snake is given by L(m) = 1.5 + 2m, where m is the age of the snake in months until it becomes 12 months old.
a. Find the length of an 8-month-old snake.
b. Find the snakes age if the length of the snake is 25.5 inches

Respuesta :

texaschic101
L(m) = 1.5 + 2m.....when snake is 8 months..m = 8
L(8) = 1.5 + 2(8)
L(8) = 1.5 + 16
L(8) = 17.5 inches <==

L(m) = 1.5 + 2m....length is 25.5.....L(m) = 25.5
25.5 = 1.5 + 2m
25.5 - 1.5 = 2m
24 = 2m
24/2 = m
12 = m ....12 months <==
Solutions 

[tex]L(m) = 1.5 + 2m[/tex]

Substitute variable m for 8. 

[tex]L(8) = 1.5 + 2(8)[/tex]

[tex]L(8) = 1.5 + 16[/tex]

[tex] L(8) = 17.5 in[/tex]

[tex]L(m) = 1.5 + 2m = L(m) = 25.5[/tex]

Substitude variable m for 25.5  

[tex]25.5 = 1.5 + 2m[/tex]

[tex]25.5 - 1.5 = 2m[/tex]

[tex]24 = 2m[/tex]

[tex]24/2 = m[/tex]

[tex] 12 = m[/tex]