A rental car company charges $0.50 per mile and a flat rate of $30.00 for any type of sedan. If m represents the number of miles driven and C(m) represents the total cost for renting a sedan, what is the linear equation that represents a cost of $130?

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Answer:

C. 130 = 0.50m + 30

Step-by-step explanation:

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The linear relationship that represents a cost, C(m) of $130 is;

  • $130 = $30.00 + $0.50m

According to the question, the rental car company charges $0.50 per mile and a flat rate of $30.00 for any type of sedan.

Given that:

  • m represents the number of miles driven.

  • C(m) represents the total cost for renting a sedan.

The $30.00 flat rate is termed the constant of the linear relationship as this does not change and it's independent of the number of miles driven.

And since the rental car company charges $0.50 per mile. This statement can be represented mathematically as;

= $0.50m for the m number of miles driven.

Ultimately, the linear relationship that represents a cost, C(m) of $130 is;

  • $130 = $30.00 + $0.50m

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