Answer:
200 miles
Step-by-step explanation:
Let's say that our variable is x, where x equals the amount of miles
Company A: a(x)=0.6x+130
Company B: b(x)=0.9x+70
For the first equation, you are charged 130 dollars, in addition to the 0.60 cents that you are charged per mile.
For the second equation, you are charged 70 dollars, in addition to the 0.90 cents that you are charged per mile.
You want to find how many miles it takes to make the two equations equal:
0.6x+130 = 0.9x+70 (Set them equal to each other because you are trying to find when the miles are equal and the cost is equal)
130=0.3x+70 (Subtract 0.6x from both sides)
60=0.3x (Subtract 70 from both sides)
x=200 (Divide both sides by 0.3 to find x)
Remember that x is the amount of miles, so, Company A and B would charge the same if you drove 200 miles.
