En la institución educativa simón bolívar los estudiantes del segundo grado desean representar en una cartulina a escala 1: 10 , la pizarra de su aula de forma rectangular cuyas medidas son 3m de base y 2m de altura. ¿cuales serán las medidas que tendrá la gráfica que representaron en la cartulina?

The question in English

At the Simón Bolívar educational institution, students in the second grade wish to represent on a 1:10 scale cardboard the rectangular-shaped blackboard of their classroom, which measures 3m base and 2m height.  

WHAT WILL BE THE MEASUREMENTS OF THE GRAPH THEY REPRESENTED ON THE CARDBOARD?

Step-by-step explanation:

we know that

The scale is equal to

That means

unit on the cardboard is equal to units on the actual

Find the measurement of the base on the cardboard

by proportion

Find the measurement of the height on the cardboard

by proportion

The measurements of the graph are

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).