maria rented the same car twice in one month. She paid $180 the first rime for 3 days and she drove a total of 150 km. The next time, she also paid $180 and had the vehicle for only 2 day, but traveled 400 km. A. What was the cost per day. B. What was the cost per kilometer
Say, cost per day = D
Say, cost per km = k
3D + 150k = 180
2D + 400k = 180
Multiply the first equation by 2 and the second by 3:
6D + 300k = 360
6D + 1200k = 540
Subtract the first equation from the second:
900k = 180
Divide both sides by 900:
k = 0.2
2D + 400k = 180
2D + 400(0.2) = 180
2D + 80 = 180
Subtract 80 from both sides:
2D = 100
D = 50
The cost per day is $50 and the cost per km is $0.20
thank you
part 1
Describe the graphs of the functions f(x) = 2^x – 1 and g(x) = –2^x – 1.
Part 2
Compare and contrast the domain and range of f(x) and g(x).
A. Well, Maria really knows how to make the most of her rental car! To find the cost per day, we'll add up the number of days she rented the car in total and divide it by the total cost. So, for the first rental, she paid $180 for 3 days, and for the second rental, she paid the same amount for 2 days. That's a total of 5 days. Dividing the total cost of $360 by 5 days gives us a cost of $72 per day.
B. Now let's calculate the cost per kilometer. For her first rental, Maria drove a total of 150 km, and for the second rental, she drove 400 km. Adding those up gives us a total distance traveled of 550 km. Dividing the total cost of $360 by 550 km gives us a cost of approximately $0.65 per kilometer.
So, the cost per day is $72 and the cost per kilometer is around $0.65. Keep in mind that these calculations are just estimates, not the actual cost. Remember, renting a car doesn't always come with a funny price tag!
To find the cost per day and cost per kilometer, we need to first calculate the total cost and determine the number of days and kilometers in each rental period.
Let's calculate the cost per day and cost per kilometer for each rental:
1. Calculate the cost per day for the first rental:
The first rental cost $180 for 3 days.
Cost per day = total cost / number of days
Cost per day = $180 / 3 days
Cost per day = $60
2. Calculate the cost per day for the second rental:
The second rental also cost $180 for 2 days.
Cost per day = total cost / number of days
Cost per day = $180 / 2 days
Cost per day = $90
Now, let's calculate the number of kilometers traveled per day in each rental:
3. Calculate the kilometers per day for the first rental:
In the first rental, Maria drove a total of 150 km in 3 days.
Kilometers per day = total kilometers / number of days
Kilometers per day = 150 km / 3 days
Kilometers per day = 50 km
4. Calculate the kilometers per day for the second rental:
In the second rental, Maria drove a total of 400 km in 2 days.
Kilometers per day = total kilometers / number of days
Kilometers per day = 400 km / 2 days
Kilometers per day = 200 km
Finally, let's calculate the cost per kilometer for each rental:
5. Calculate the cost per kilometer for the first rental:
Cost per kilometer = total cost / total kilometers
Cost per kilometer = $180 / 150 km
Cost per kilometer = $1.2/km
6. Calculate the cost per kilometer for the second rental:
Cost per kilometer = total cost / total kilometers
Cost per kilometer = $180 / 400 km
Cost per kilometer = $0.45/km
Summary:
A. The cost per day for the first rental was $60 and for the second rental was $90.
B. The cost per kilometer for the first rental was $1.2/km and for the second rental was $0.45/km.