Determine the y-intercept and slope and then write the equation for this table.*
1 answer:
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Answer:
- 5 min: 3,029,058
- 10 min: 3,398,220
- 60 min: 10,732,234
Step-by-step explanation:
The given function is evaluated by substituting the given values of t. This requires using the exponential function of your calculator with a base of 'e'. Many calculators have that value built in, or have an e^x function (often associated with the Ln function).
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<h3>5 minutes</h3>The number of bacteria present after 5 minutes is about ...
f(5) = 2.7×10^6×e^(0.023×5) ≈ 3,029,058
<h3>10 minutes</h3>The number of bacteria present after 10 minutes is about ...
f(10) = 2.7×10^6×e^(0.023×10) ≈ 3,398,220
<h3>60 minutes</h3>The number of bacteria present after 60 minutes is about ...
f(60) = 2.7×10^6×e^(0.023×60) ≈ 10,732,234
Example:
This suggests two solutions,
and 
.
However, upon plugging these solutions back into the equation, you get
which checks out, but
does not because
is defined only for 
(assuming you're looking for real solutions only). So, we call an extraneous solution, and the complete solution set (over the real numbers) is .
This suggests two solutions,
However, upon plugging these solutions back into the equation, you get
which checks out, but
does not because