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A certain car model cost Birr 20,000 with a gasoline engine and Br 25,000 with a diesel engine. The number of miles per gallon of fuel for cars with these two engines is 25 and 30, respectively. Assume that the price of both types of fuel is Birr 1.50 per gallon.
Required:
a) Drive the equation for the cost of driving a gasoline powered car.
b) Drive the equation for the cost of driving a diesel powered car.
c) Find the break-even point, that is, find the mileage at which the diesel-powered car becomes more economical than the gasoline powered car.

asked by Mesay girum
June 29, 2021

5 answers

"derive" not "drive"
cost in $/mi is just mi/(mi/gal) * $/gal
so, the cost of driving x miles is
(a) 20000 + x/25 * 1.50 = 0.06x + 20000
do the same for (b) and then solve for (c)

answered by oobleck
June 29, 2021

number of miles driven = x
cost to drive the gas car = 20000 + x/20 * 1.5 = 3x/40 + 20000
cost to drive the diesel - 25000 + x/30*1.5 = x/20 + 25000

3x/40 + 20000 = x/20 + 25000
3x/40 - x/20 = 5000
x/40 = 5000
x = 20,000

answered by mathhelper
June 29, 2021

oops, copy error !!
I used 20 instead of 25 in line #2

Make the necessary changes, or else solve oobleck's equation

answered by mathhelper
June 29, 2021

good

answered by Esubalew Tesfaye
August 31, 2021

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas. During one particular week, the two cars went a combined total of 1300 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

answered by Samantha
July 16, 2022
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A certain car model cost Birr 20,000 with a gasoline engine and Br 25,000 with a diesel engine. The number of miles per gallon of fuel for cars with these two engines is 25 and 30, respectively. Assume that the price of both types of fuel is Birr 1.50 per gallon.
Required:
a) Drive the equation for the cost of driving a gasoline powered car.
b) Drive the equation for the cost of driving a diesel powered car.
c) Find the break-even point, that is, find the mileage at which the diesel-powered car becomes more economical than the gasoline powered car.

asked by Mesay girum
June 29, 2021

5 answers

"derive" not "drive"
cost in $/mi is just mi/(mi/gal) * $/gal
so, the cost of driving x miles is
(a) 20000 + x/25 * 1.50 = 0.06x + 20000
do the same for (b) and then solve for (c)

answered by oobleck
June 29, 2021

number of miles driven = x
cost to drive the gas car = 20000 + x/20 * 1.5 = 3x/40 + 20000
cost to drive the diesel - 25000 + x/30*1.5 = x/20 + 25000

3x/40 + 20000 = x/20 + 25000
3x/40 - x/20 = 5000
x/40 = 5000
x = 20,000

answered by mathhelper
June 29, 2021

oops, copy error !!
I used 20 instead of 25 in line #2

Make the necessary changes, or else solve oobleck's equation

answered by mathhelper
June 29, 2021

good

answered by Esubalew Tesfaye
August 31, 2021

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas. During one particular week, the two cars went a combined total of 1300 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

answered by Samantha
July 16, 2022
Answer this Question
Your Name
Hundera

Your Answer
Still need help?
You can ask a new question or browse more mathematics questions.

Similar Questions
A certain car model cost Birr 20,000 with a gasoline engine and Br 25,000 with a diesel engine. The number of miles per gallon of fuel for cars with these two engines is 25 and 30, respectively. Assume that the price of both types of fuel is Birr 1.50 per
In its first year, Abol buna Company had the following experience.
Sales = 25,000 units Selling price = Birr 100 Total variable cost = Birr 1,500,000 TFC = Birr 350,000 Required: Develop revenues, cost, and profit functions for the company in terms of

2. In its first year, “ABOL BUNA” Company had the following experience.
Sales = 25,000 units Selling price = Birr 100 Total variable cost = Birr 1,500,000 TFC = Birr 350,000 Required b) Find the break-even point in terms of quantity

2. In its first year, “ABOL BUNA” Company had the following experience.
Sales = 25,000 units Selling price = Birr 100 Total variable cost = Birr 1,500,000 TFC = Birr 350,000 Required: a) Develop revenues, cost, and profit functions for the company in

In its first year, A Company had the following data.
Sales = 25,000 units Selling price = Birr 100 Total variable cost = Birr 1,500,000 TFC = Birr 350,000 Required: A) Develop revenues, cost, and profit functions for the company in terms of quantity. B)

A firm manufacture and markets a product that sells for Birr per unit .Fixed cost associated with activity total Birr 40,000 a month ,while variable cost per unit is Birr 10.A maximum of 10,000 units can be produced and sold
A firm Manufactures & Markets a product that sells for birr 20 per unit. Fixed Costs Associated With activity total birr 40,000 a month. While Variable Cost Per unit is birr 10. A maximum of 10,000 units can be produced & Sold
A firm manufactures and markets a product that sells for Birr 20 per unit. Fixed costs associated
with activity total Birr 40,000 a month, while variable cost per unit is Birr 10. A maximum of 10,000 units can be produced and sold

3. A retail co plans to work on a margin of 44% of retail price and to incur other variable costs of 4%. If it expects fixed cost of Birr 20,000,
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more similar questions
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© 2022 Questions LLC