Maths-
General
Easy

Question

y = 19.99 + 1.50x
The equation above models the total cost y, in dollars, that a company charges a customer to rent a truck for one day and drive the truck x miles. The total cost consists of a flat fee plus a charge per mile driven. When the equation is graphed in the xy-plane, what does the y-intercept of the graph represent in terms of the model?

  1. A flat fee of $19.99
  2. A charge per mile of $1.50
  3. A charge per mile of $19.99 
  4. Total daily charges of $21.49

The correct answer is: A flat fee of $19.99


    HINT –  y – intercept means the point  (0 , y) i.e. the point where graph touches y - axis
    SOLUTION – The given equation is y = 19.99 + 1.50 x
    We know that y – intercept is the point where graph touches y – axis i.e.  x = 0
    rightwards double arrowy = 19.99 + 1.50 (0)
    = 19.99
    According to the question total cost consist of a flat fee plus a charge per mile truck is driven. Since ‘x’ represent the no of miles truck is driven, implies that 1.50 is the charge per mile.
    So, 19.99 is a flat fee
    Hence, option A is correct

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