Question

Lois runs 1 mile in 12 minutes. She runs no more than 6 miles each day. Write an algebraic expression to model how many minutes she runs each day. Tell what the variable represents, and write a domain set for that variable.

Answer 1

The algebraic expression which models the number of minutes for which she runs everyday is; 12x <= 72.

The variable x represents the number of miles ran each day and the domain of the x is; 0 <= x <= 6.

What is the algebraic expressions which represents the situation described by the word phrases?

The algebraic expression which models how many minutes she runs for each day in terms of the number of miles ran, x is;

12x <= 6 × 12

12x <= 72.

The variable x in the task content therefore represents; the number of miles which she runs each day.

The domain set for the variable, x as in the task content is evaluated as follows;

12x <= 72; x <= 6.

Hence, the domain is; 0 <= x <= 6.

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