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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?
  • a)
    A flat fee of $19.99
  • b)
    A charge per mile of $1.50
  • c)
    A charge per mile of $19.99
  • d)
    Total daily charges of $21.49
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
y = 19.99 + 1.50xThe equation above models the total cost y,in dollars...
Choice A is correct. The y-intercept of the graph of y = 19.99 + 1.50x in the xy-plane is the point on the graph with an x-coordinate equal to 0. In the model represented by the equation, the x-coordinate represents the number of miles a rental truck is driven during a one-day rental, and so the y-intercept represents the charge, in dollars, for the rental when the truck is driven 0 miles; that is, the y-intercept represents the cost, in dollars, of the flat fee. Since the y-intercept of the graph of y = 19.99 + 1.50x is (0, 19.99), the y-intercept represents a flat fee of $19.99 in terms of the model.
Choice B is incorrect. The slope of the graph of y = 19.99 + 1.50x in the xy-plane, not the y-intercept, represents a driving charge per mile of $1.50 in terms of the model. Choice C is incorrect. Since the coefficient of x in the equation is 1.50, the charge per mile for driving the rental truck is $1.50, not $19.99. Choice D is incorrect. The sum of 19.99 and 1.50, which is 21.49, represents the cost, in dollars, for renting the truck for one day and driving the truck 1 mile; however, the total daily charges for renting the truck does not need to be $21.49.
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y = 19.99 + 1.50xThe 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?a)A flat fee of $19.99b)A charge per mile of $1.50c)A charge per mile of $19.99d)Total daily charges of $21.49Correct answer is option 'A'. Can you explain this answer?
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y = 19.99 + 1.50xThe 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?a)A flat fee of $19.99b)A charge per mile of $1.50c)A charge per mile of $19.99d)Total daily charges of $21.49Correct answer is option 'A'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about y = 19.99 + 1.50xThe 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?a)A flat fee of $19.99b)A charge per mile of $1.50c)A charge per mile of $19.99d)Total daily charges of $21.49Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for y = 19.99 + 1.50xThe 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?a)A flat fee of $19.99b)A charge per mile of $1.50c)A charge per mile of $19.99d)Total daily charges of $21.49Correct answer is option 'A'. Can you explain this answer?.
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