Express your answer in scientific notation.
1 answer:
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Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
...(iii)
Dividing (iii) by (ii), we get
Putting in (ii), we get
Putting in (i), we get
The required exponential function for the given table of values is . So, the missing values are 2 and x, where 2 is in the base and x is in the power.
Answer:
Yes it will be able to make the journey in under a year.
Step-by-step explanation:
To find out how many hours it will take and divide by 8400
So it will take the space ship 190.476 hours to make the trip.
Next, ask our self, how many hours are in a year?
To find out multiply 365 * 24 = 8760 hr
The 365 = number of day in a year. The 24 = number of hours in a day.
Knowing how many hours there are in a year and how long the trip will take tells us that the journey can be made under a year since there are 8760 hours in a year and we know we can make it there in 190.476 hr traveling at 8400 mph