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)
Responses
50x+20=100x+10; x=5; after 5 days the prices are equal
50 x plus 20 equals 100 x plus 10 ; x equals 5 ; after 5 days the prices are equal
50+20x=100+10x; x=5; after 5 days the prices are equal
50 plus 20 x equals 100 plus 10 x ; x equals 5 ; after 5 days the prices are equal
50+20x=100x+10; x=1; after 1 day the prices are equal
50 plus 20 x equals 100 x plus 10 ; x equals 1 ; after 1 day the prices are equal
20x−50=10x−100; x=−5; after 5 days the prices are equal
The correct equation is 50 + 20x = 100 + 10x.
Interpreting the solution, we find that after 5 days, the rental car prices for A and B will be equal.
The correct equation and interpretation of the solution to the problem is:
50 + 20x = 100x + 10
To find the number of days when the rental car prices are equal, we need to solve this equation for x.
Subtracting 20x and 10 from both sides, we get:
50 - 10 = 100x - 20x
40 = 80x
Dividing both sides by 80, we get:
x = 40/80
x = 1/2
x = 0.5
Therefore, after 0.5 days (or half a day), the rental car prices are equal.