Question

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

Answer 1

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 <==

Answer 2

Solutions


`L(m) = 1.5 + 2m`

Substitute variable m for 8.


`L(8) = 1.5 + 2(8)`


`L(8) = 1.5 + 16`


`L(8) = 17.5 in`


`L(m) = 1.5 + 2m = L(m) = 25.5`

Substitude variable m for 25.5


`25.5 = 1.5 + 2m`


`25.5 - 1.5 = 2m`


`24 = 2m`


`24/2 = m`


`12 = m`