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Set 3: Linear Functions (Intermediate)

Explanation

Answer: A

The cost CC of renting a car is given by C=25d+50C = 25d + 50, where dd is the number of days. What does the number 50 represent?

A.

The initial rental fee

✓ Correct
B.

The cost per day

C.

The total cost for 1 day

D.

The number of days rented

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Interpret the y-intercept. 1. Equation: C=25d+50C = 25 d + 50 is in y=mx+by=mx+b form. 2. Intercept (bb): 50. This is the value when d=0d=0. 3. Context: The starting cost or base fee before any days are added. Strategic Tip: The constant term is the "start". The coefficient is the "rate". Choice B is incorrect because 25 is the rate. Choice C is incorrect because cost for 1 day is 25(1)+50=7525(1)+50=75. Choice D is incorrect because dd is the variable.

Key Steps:

The correct answer is The initial rental fee

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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