What must be the value of x? 22.0 25.0 25.4 37.2
2 answers:
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Answer:
Distance = 21 miles.
Step-by-step explanation:
Let x be the distance in miles between the airport and Ann's home.
We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.
We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:
Now let us solve our equation.
Therefore, the equation represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.
Option c: x=6 is a true solution and x=-6 is an extraneous solution.
Explanation:
The equation is
Dividing both sides of the equation by 2, we get,
Simplifying,
Since, we know by the logarithmic definition, if , then
Using this definition, we have,
Hence,
Now, let us verify if is the solution.
Substitute in the equation
to see whether both sides of the equation are true.
We have,
Using the log rule,
We have,
Hence, both sides of the equation are equal.
Thus, is the true solution.