Question

the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They need to find out about how much the gas will cost round trip. Their car gets about 20 miles per gallon. They usually spend about $2.89 per gallon. a write and solve an algebraic equation to find out how many miles they will travel. Explain your steps. b. Write and solve an algebraic equation to find out how many gallons of gas they will use. Explain your steps. c. Write and solve an algebraic equation to find out how much ortiz's will spend on gas round trip. Explain your steps. d. suppose you know the total cost of the gas, do not know the price pe gallon. Explain how you would work backward to solved the problem

Answer 1

Answer:

  a. 2116 miles

  b. 105.8 gallons

  c. $305.76

  d. cost per gallon = total cost / number of gallons = total cost/105.8

Step-by-step explanation:

a.

The round-trip distance is the sum of the distances there and back. It is double the one-way distance.

  round-trip distance = 2 × one-way distance

  round-trip distance = 2 × 1058 miles = 2116 miles

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b.

The gas used will be the distance divided by miles per gallon.

  gas used = round-trip distance / miles-per-gallon

  gas used = (2116 mi)/(20 mi/gal) = 105.8 gal

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c.

The cost of gas will be the product of cost per gallon and number of gallons.

  cost of gas = cost-per-gallon × gallons

  cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76

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d.

The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...

  (cost of gas)/gallons = cost-per-gallon

For the same trip, the number of gallons is 105.8, so the equation becomes ...

  cost-per-gallon = (cost of gas)/105.8