We can solve these questions using algebraic expressions.
Both companies will charge the same amount after 15 miles.
Let's represent
The number of miles = x
Our system of equations is given as:
Hence: $3.25 + $0.55 × x
= 3.25 + 0.55x
Hence: $2.50 + $0.60 × x
= 2.50 + 0.60x
To solve for how many miles both companies will charge the same amount, we equate both equations to each other.
3.25 + 0.55x = 2.50 + 0.60x
Collect like terms
0.60x - 0.55x = 3.25 - 2.50
0.05x = 0.75
Divide both sides by 0.05
0.05x/0.05 = 0.75/0.05
x = 15 miles
Therefore, both companies will charge the same amount after 15 miles.
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