To answer this, let the 3 sides of the regular sized rectangular box be x, y, and z.
When we double all the sides, the new sides have lengths 2x, 2y, and 2z, respectively.
Since the regular box (with dimensions x,y, and z) have 750 toothpicks, we can write
Similarly we can write for the jumbo box as,
which is equal to
So this is 8 times the original of . Hence the jumbo box will have 8 times 750 number of toothpicks.
ANSWER: toothpicks
Answer: A)
B) H = 5.10
C) Yes
Step-by-step explanation: <u>Exponential</u> <u>Decay</u> <u>function</u> is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form:
A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:
Using a natural logarithm property called <em>power rule:</em>
The decay function for concentration of DDT through the years is
B) The value of H is calculated by
Again, using power rule for logarithm:
H = 5.10
Constant H in the half-life formula is H=5.10
C) Using model to determine concentration of DDT in 1995:
y(24) = 0.5
By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.