Answer:
Step-by-step explanation:
The rental rate for a hedge trimmer has a one time fee of $20 plus $30 for each day of the rental. The graph shows points repres
enting the total cost of the rental.
Which linear equation, in slope-intercept form, that models the total cost of the rental over time?
A. y = 20x
B. y = 30x + 20
C. y = 30x
D. y = 20x + 30
E. y = 2x + 80
Which linear equation, in slope-intercept form, that models the total cost of the rental over time?
A. y = 20x
B. y = 30x + 20
C. y = 30x
D. y = 20x + 30
E. y = 2x + 80
2 answers:
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x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Step-by-step explanation:
We need to solve the equation and find values of x.
Solving:
Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)
Multiply the entire equation with x(x-1)
Now, factoring the term:
The values of x are x=1 and x=2
Checking for extraneous roots:
Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.
If we put x=1 in the equation, the denominator becomes zero i.e
which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.
If we put x=2 in the equation,
So, x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Keywords: Solving Equations and checking extraneous solution
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