En una empresa se fabrican cajas metalicas sin tapa con laminas cuadradas de 12 cm de lado, recortando cuadrados iguales en las esquinas y dobladolos hacia arriba, como se indico en el ejemplo de razon de cambio. a. Comprueba que la razón de cambio del volumen con respecto a la longitud de x que se recorta en las esquinas es 12x^2 − 96x + 144.
b. Traza la gráfica de V(x) y encuentra aquel valor de x para el que el
volumen de la caja sea el máximo posible.
Por fa ayuda.

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

d

step-by-step explanation: