Mathematics
Grade6
Easy

Question

You are visiting Houston, Texas and a taxi cab company charges a flat rate of $4.00 for using the cab and $0.95 per mile.  Write an equation to determine the cost when x miles is driven.

  1. y = .75x
  2. y = .95x
  3. y = .95x + 4
  4. y=4.95x

hintHint:

1. Variable cost = Number of miles * rate per mile
2. Total cost = flat rate + variable cost

The correct answer is: y = .95x + 4


    GIVEN-
    Flat rate charged by the company = $ 4
    Variable charges for drivig the cab = $ 0.95 per mile.
    TO FIND-
    Equation for the given situation to determine the total cost when x miles are driven.
    SOLUTION-
    Let the number of miles driven in the cab be x and the total cost be y.
    Now, we know that-
    Variable cost = Number of miles * rate per mile
    ∴ Variable cost = x * $ 0.95 …....................................................................... (From given information)
    ∴ Variable cost = 0.95x ............................................................................... (Equation i)
    Total cost = flat rate + variable cost
    ∴ y = 4 + 0.95x ............................................................................ (From Equation i & given information)
    FINAL ANSWER-
    Option 'b' i.e. '4 & 12' is the correct answer to the given question.

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