The changing speed of a car is modeled by the function S(t) = –4t + 35, where t is time in seconds. Interpret the model.
1 answer:
Answer:
The car has an initial speed of 35 units and is slowing down by 4 units per second.
Step-by-step explanation:
The changing speed of a car is modeled by the function :
t is time in seconds
Initial speed means at t = 0
s(0) = 35 units
Here the change in speed is negative, it means that the car is slowing down by this rate.
So, the correct answer is : The car has an initial speed of 35 units and is slowing down by 4 units per second.
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Answer:
About 0.6548 grams will be remaining.
Step-by-step explanation:
We can write an exponential function to model the situation. The standard exponential function is:
The original sample contained 510 grams. So, a = 510.
Each half-life, the amount decreases by half. So, r = 1/2.
For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.
Therefore, our function is:
One year has 365 days.
Therefore, the amount remaining after one year will be:
About 0.6548 grams will be remaining.
Alternatively, we can use the standard exponential growth/decay function modeled by:
The starting sample is 510. So, C = 510.
After one half-life (38 days), the remaining amount will be 255. Therefore:
Solving for k:
Thus, our function is:
Then after one year or 365 days, the amount remaining will be about:
Answer:
Step-by-step explanation:
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