Write an equation and interpret the solution to the following problem: Rental car A has a rate of an initial $100, plus $10
per day. Rental car B has a rate of an initial $50, plus $20 per day. After how many days are the rental car prices equal?
(1 point)
Let x be the number of days.
For rental car A, the equation is:
Total cost = $100 + $10x
For rental car B, the equation is:
Total cost = $50 + $20x
To find when the rental car prices are equal, we set the two equations equal to each other and solve for x:
$100 + $10x = $50 + $20x
Subtracting $10x and $50 from both sides, we get:
$100 - $50 = $20x - $10x
$50 = $10x
Dividing both sides by $10, we get:
5 = x
Therefore, the rental car prices are equal after 5 days.
Let's create an equation to represent the rental car prices.
Let x be the number of days.
For Rental Car A, the equation is:
Price_A = 100 + 10x
For Rental Car B, the equation is:
Price_B = 50 + 20x
To find the number of days when the rental car prices are equal, we need to equate the two equations:
100 + 10x = 50 + 20x
Now, let's solve this equation step by step to find the value of x:
100 - 50 = 20x - 10x (subtract 10x from both sides and add 50 to both sides)
50 = 10x (combine like terms)
50/10 = x (divide both sides by 10)
5 = x
Hence, the rental car prices will be equal after 5 days.