Respuesta :
Answer:
400 miles
Step-by-step explanation:
the equation could be :
90 + 0.80 n = 50 + 0.90 n , n for Numbers of miles.
90 + 0.80 n = 50 + 0.90 n
90-50 = 0.90 n - 0.80 n
40 = 0.10 n
n = 40/(0.10)
n = 400
Answer:
400 miles
Step-by-step explanation:
Define the variables:
Let x = number of miles driven
Let y = total cost of rental
Company A
Given: ย
- Charge to rent the truck is $90 a day plus $0.80 per mile.
โ y = 90 + 0.8x
Company B
Given: ย
- Charge to rent the truck is $50 a day plus $0.90 per mile.
โ y = 50 + 0.9x
To find the number of miles for which Company A and Company B charge the same amount, substitute the equation for Company A into the equation for Company B and solve for x:
โ 90 + 0.8x = 50 + 0.9x
โ 90 + 0.8x - 50 = 50 + 0.9x - 50
โ 40 + 0.8x = 0.9x
โ 40 + 0.8x - 0.8x = 0.9x - 0.8x
โ 40 = 0.1x
โ 40 รท 0.1 = 0.1x รท 0.1
โ 400 = x
Therefore, the number of miles for which the rental costs are the same from either company is 400 miles.
To find the cost, substitute x = 400 into one of the equations:
โ y = 90 + 0.8(400)
โ y = 90 + 320
โ y = 410
Therefore, the daily cost from both companies for 400 miles would be $410.