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Answer :
Final answer:
To complete the equation for the given relationship between the number of months (m) and the number of cars sent to New York (c), we use the linear form c = 9m - 10, with 9 being the number of cars produced per month and 10 being the initial overseas order that is subtracted.
Explanation:
The given question involves creating a linear equation that represents the relationship between the number of months (m) and the total number of cars sent to New York (c), considering that the automobile company manufactures 9 cars every month but first fulfills an overseas order for 10 cars. To start, let's first determine the monthly increase in cars sent to New York after the initial overseas order is completed.
Step-by-Step Explanation
Identify the constant term: The first overseas order of 10 cars will be subtracted from the total number manufactured over time, which represents the constant term in our equation (b).
Identify the variable term: Every month, 9 more cars will be added to the total sent to New York, so the variable term is the number of cars produced per month (9) multiplied by the number of months (m).
Combine the terms to form the equation: c = 9m - 10, which represents the total number of cars sent to New York.
Thus, the complete equation that describes the relationship between m and c is c = 9m - 10.
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