Question

The reticulated python is the longest snake in the world,according to Natural History Museum.On average,the snake reaches approximately 6,25 m in length.The longest recorded reticulated python was discovered in 1912 and measured 10 meters long.

The WORLD WILDLIFE Refuge (WWR) has received a call from a rural village outside the Loas, capital of Vientiane.
"help , help! A python is taking over our village.It is 500 cm long and out of our control."

Ten month ago,the villagers first discovered the python slithering around their village at night.Four month ago,the village called animal control in Vientiane for help and reported the length of the python to be 390 cm.The villagers have determined that python is growing at the constant rate each day .What was the length of the python when it was first discovered?
Drew a graph.

It will take the WWR 3 months to get a cage to the rural village and one month to track and capture the creature.The cage contain snakes that are less then 700cm long.Will the cage be able to contain the snake when it is captured ?

The WWR is trying to determine how long the Python will be in one year.?


I need to show all mathematical .

Answer 1

Explanation:

I cannot draw here, but I can give you the data, calculation and explanation.

10 months ago the snake was first discovered.

4 months ago it was 390 cm long.

right now (when they called for help) it is 500 cm long.

when they say "month", I assume they mean 30 days.

so, it took the snake 4 months (4×30 = 120 days) to grow from 390 cm to 500 cm.

that is 110 cm in 120 days = 11cm /12 days growth rate.

10 months ago (10×30 = 300 days) it was

300 × 11/12 cm shorter = 25×11 = 275 cm

so, it was 500 - 275 = 225 cm long.

you draw a graph with months on the x-axis (-10 to -3 to 0 3 to 4 to 12), and the y-axis I recommend to scale in meters (1 meter = 100 cm). and then you draw ac straight line from (-10, 2.25) to (0, 5).

in 3+1 months they will have caught the snake and caged it.

4 months are again 120 days.

if it keeps growing at the same rate, it would grow another 275 cm.

that would make it 775 cm long.

in this case the cage will not be big enough.

but if it will follow more or less the mean value of its species, then it will stop growing before reaching 700 cm and will fit into the cage.

if it keeps growing, in 1 year (12 months = 12×30 ÷ 360 days) it will be adding

360 × 11/12 = 30×11 = 330 cm

and have grown to 500 + 330 = 830 cm length.

in short. the function of the length of the snake is

f(x) = 11/12 x + 500

for x represents the months before now (negative) or in the future (positive).