Question

A store rents DVDs for a base fee of $3.00 plus $0.50 for each day th customer has the DVD. This situation can be modeled by the linear equation y = 0.50x + 3.00. Which statement compares the graph of this model to that of the parent function y = x?

A. The graph of y = 0.50x + 3.00 is steeper that the graph of the parent function and has a y-intercept above that of the parent function.


B. The graph of y = 0.50x + 3.00 is less than the graph of the parent function and has a y-intercept below that of the parent function.


C. The graph of y = 0.50x + 3.00 is steeper than the graph of the parent function and has a y-intercept below that of the parent function.


D. The graph of y = 0.50x + 3.00 is less steep than the graph of the parent function and has a y-intercept below that of the parent function.

Answer 1

The correct answer is A

Answer 2

none of the above

Explanation:

The slope of the equation in the model is 0.5, so is less steep than that of the parent function, which has a slope of 1.

The y-intercept of the model equation is +3, so is above that of the parent function, which has a y-intercept of 0.

None of the answer choices have this combination of wording. (Answer choices B and D appear to be the same.)

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In the attached graph, the model is shown in blue; the parent function is shown in red.