Ace Rent a Car charges a flat fee of $15 and $0.25 a mile for their cars. Acme Rent a Car charges a flat fee of $30 and $0.17 a mile for their cars. Use the following model to find out after how many miles Ace Rent a Car becomes more expensive than Acme Rent a Car. c= 15+0.25m Ace, c=30+0.17m Acme
Would someone please help me?
so
15 + .25 m = 30 + .17 m
.08 m = 15
m = 1500/8
m = 187.5 miles
.08m = 15 = 08m/.08 = 15/.08(m) = m =187.5
15+ .25(187.5) = 30+.17(187.5)
15 + 46.875 = 30 + 31.875 =
61.875 = 61.875 miles
Of course! I can help you with that.
To find out after how many miles Ace Rent a Car becomes more expensive than Acme Rent a Car, we need to set up an equation representing the total cost of each car rental company and then solve for the variable 'm' (representing the number of miles driven).
Let's start with Ace Rent a Car:
The total cost for Ace Rent a Car can be represented by the equation:
c = 15 + 0.25m
Next, let's set up the equation for Acme Rent a Car:
The total cost for Acme Rent a Car can be represented by the equation:
c = 30 + 0.17m
Now, we want to find the point where the cost for Ace Rent a Car becomes more expensive than Acme Rent a Car. This means the cost for Ace Rent a Car will be greater than the cost for Acme Rent a Car, so we can set up an inequality:
15 + 0.25m > 30 + 0.17m
To solve this inequality, we can start by subtracting 0.17m from both sides:
15 + 0.25m - 0.17m > 30
Simplifying:
0.08m > 15
To isolate the variable 'm', we can divide both sides of the inequality by 0.08:
m > 15 / 0.08
Now, we can calculate the value of 'm':
m > 187.5
So, after driving more than 187.5 miles, Ace Rent a Car becomes more expensive than Acme Rent a Car.
Therefore, the answer to your question is that Ace Rent a Car becomes more expensive than Acme Rent a Car after driving more than 187.5 miles.