60x + y = 87.15
subtracting equations
... 30x = 33.60
substituting
... 33.60 + y = 53.55
... y = 19.95
Steven is moving to another city next weekend and wants to rent a moving truck. The rental rates for two companies in his area are shown below. Each company charges an initial fee for renting the truck, plus an additional amount per mile.
Company 1:
Miles: 30 Rental Charge: $53.55
Miles: 60 Rental Charge: $87.15
Miles: 90 Rental Charge: $120.75
Miles: 120 Rental Charge: $154.35
Miles: 150 Rental Charge: $187.35
Company 2:
Miles: 25 Rental Charge: $56.75
Miles: 50 Rental Charge: $78.00
Miles: 75 Rental Charge: $99.25
Miles: 100 Rental Charge: $120.50
Miles: 125 Rental Charge: $141.75
I am looking to find the initial charge so that I can then find additional amount per mile. I have come up with the equation of 30x + y = 53.55 but am unsure of where to go next.
2 answers
Company 1 Company 2
Mileage Rate Mileage Rate
30 53.55 $33.60 $19.95 Initial Fee (87.15-53.55=33.60) 25 $56.75 $21.25 $35.50 Initial Fee (78-56.75=21.25)
60 87.15 $33.60 50 $78.00 $21.25
90 120.75 $33.60 75 $99.25 $21.25
120 154.35 $33.60 100 $120.50 $21.25
150 187.95 $33.60 125 $141.75 $21.25
Rate Company 1 $1.12 Rate Company 2 $0.85
33.60/30 21.25/25
85 millas x 1.12 = $95.20 85 millas x .85= $72.25 $22.95
Initial Fee $19.95 $35.50
Total $115.15 Total $107.75 $7.40
Compania 2 es mas barata que la Compania 1 por $7.40
Mileage Rate Mileage Rate
30 53.55 $33.60 $19.95 Initial Fee (87.15-53.55=33.60) 25 $56.75 $21.25 $35.50 Initial Fee (78-56.75=21.25)
60 87.15 $33.60 50 $78.00 $21.25
90 120.75 $33.60 75 $99.25 $21.25
120 154.35 $33.60 100 $120.50 $21.25
150 187.95 $33.60 125 $141.75 $21.25
Rate Company 1 $1.12 Rate Company 2 $0.85
33.60/30 21.25/25
85 millas x 1.12 = $95.20 85 millas x .85= $72.25 $22.95
Initial Fee $19.95 $35.50
Total $115.15 Total $107.75 $7.40
Compania 2 es mas barata que la Compania 1 por $7.40
1 answer