A rectangular storage unit has dimensions 1m by 2m by 3m. If each linear
dimension is increased by the same amount.
a) What increase would result in a new storage unit with a volume 10 times the
original?
b) How many possible solutions are there to this problem? Explain your answer.
c) Sketch the graph of the information presented in this problem. Show how the
zeros of the function relate to the answer.
WORK DONE :
a) (x+1)(x+2)(x+3) = 6(10)
x3 + 6x2 + 11x - 54 = 0
Finding which value of x will give the result of 0 in the end will determine the
increase.
P(2) --> 8 + 24 + 22 - 54 = 0
0 = 0
Therefore the increase is 2.
b) There is only one possible solution to this problem and it must be 2. When
trying to factor the problem further using the quadratic formula, you come in
contact with a negative expression under the radical sign which is not possible.
I used the long division then tried the quadratic formula to prove my point.
c) I created the graph and tried to explain how in the graph, there is a slight
curve when x=2 but wasn't sure how to further prove how the zeros of the
function relate to my answer. Any help here would be appreciated!
dimension is increased by the same amount.
a) What increase would result in a new storage unit with a volume 10 times the
original?
b) How many possible solutions are there to this problem? Explain your answer.
c) Sketch the graph of the information presented in this problem. Show how the
zeros of the function relate to the answer.
WORK DONE :
a) (x+1)(x+2)(x+3) = 6(10)
x3 + 6x2 + 11x - 54 = 0
Finding which value of x will give the result of 0 in the end will determine the
increase.
P(2) --> 8 + 24 + 22 - 54 = 0
0 = 0
Therefore the increase is 2.
b) There is only one possible solution to this problem and it must be 2. When
trying to factor the problem further using the quadratic formula, you come in
contact with a negative expression under the radical sign which is not possible.
I used the long division then tried the quadratic formula to prove my point.
c) I created the graph and tried to explain how in the graph, there is a slight
curve when x=2 but wasn't sure how to further prove how the zeros of the
function relate to my answer. Any help here would be appreciated!
