Can the sum of two mixed numbers be equal to 2?Explain why or why not.

Every 14 minutes, a type of bacteria reproduces itself. The whole situation represents also a relationship and a function. It multiplies itself all the 14 minutes, that is an exponential function.

• Relation between 2 sets would be a group of ordered pairs containing 1 item from each set.
• When item x is from the first set as well as the object y is from the second set, the objects are said to be related if the item set (x,y) is now in the relation.
• A functional in math is a binary connection between two sets that associates each element of the first group with exactly one member of the opening pair.

Therefore, the final answer is "Option B".

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Answer:

both a relation and a function

Step-by-step explanation:

Answer:

  10.4 hours

Step-by-step explanation:

It is convenient to write the exponential growth function in these terms:

  population = (initial value)·((value at later time)/(initial value))^exponent

where ...

  exponent = (t - (initial time))/(time difference to later time)

Here, we have ...

• initial value = 456
• initial time = 2 . . . hours
• value at later time = 988
• time difference to later time = 4.2 -2 = 2.2 . . . hours

So, the exponential function is ...

  p(t) = 456·(988/456)^((t-2)/2.2)

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We can find t for p(t) = 8700 a couple of ways. My favorite is to use a graphing calculator to find t such that ...

  p(t) -8700 = 0

This shows t ≈ 10.4 hours.

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Alternatively, you can solve the equation using algebra.

  8700 = 456·(988/456)^((t-2)/2.2)

  8700/456 = (988/456)^((t-2)/2.2) . . . . . . . . . . .divide by 456

  log(8700/456) = (t -2)/2.2 · log(988/456) . . . . taking logs

  2.2·log(8700/456)/log(988/456) = t -2 . . . . . . multiply by the inverse of the coefficient of t

  t = 2 + 2.2(log(8700/456)/log(988/456)) ≈ 10.389774

We can expect the population to be 8700 at 10.4 hours.