Diane will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $42 and costs an ad
ditional $0.17 per mile driven. The second plan has an initial fee of $51 and costs an additional $0.15 per mile driven.
For what amount of driving do the two plans cost the same?
__miles
What is the cost when the two plans cost the same?
$__
For what amount of driving do the two plans cost the same?
__miles
What is the cost when the two plans cost the same?
$__
1 answer:
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Answer:
a: no solutions
b: (2, 3)
Step-by-step explanation:
a:
In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.
b:
Since both of the equations are equal to y, we can set them equal to each other:
We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):
(x-2)^2 = 0
x = 2
Now, to find y, plug-in x to any of the equations:
y = 2*2-1 = 3
Therefore, the solution to this system of equation is (2, 3)
I hope this helped.