A scale model of a locomotive is placed in a technology museum. The actual locomotive is 5 meters tall, 27 meters long and 3 meters wide. If the scale model is 40.5 centimeters long, how wide is the scale model?

The Actual size of locomotive are,

Tall = T = 5 m = 500 cm

Long = L = 27 m = 2700 cm

Width = W = 3 m = 300 cm

The scale model sizes are,

Tall = T =  t cm

Long = L = 40.5 cm

Width = W = w cm

Scale factor of the model is,

=

That means the scale model is 0.015 time smaller than actual model.b

Width of scale model is,

=

=  

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

maya’s expression will generate the wrong sum because she violated the commutative property.

step-by-step explanation: