Question

The time spent dancing (minutes) and the amount of calories burned can be modeled by the equation c = 5.5t. Which table of values matches the equation and includes only viable solutions?

A 2-column table with 4 rows. The first column is labeled time (t) with entries negative 5, 0, 5, 10. The second column is labeled calories (c) with entries negative 27.5, 0, 27.5, 55.

A 2-column table with 4 rows. The first column is labeled time (t) with entries 0, 5, 10, 15. The second column is labeled calories (c) with entries 0, 27.5, 55, 82.5.

A 2-column table with 4 rows. The first column is labeled time (t) with entries negative 20, negative 15, negative 10, negative 5. The second column is labeled calories (c) with entries negative 110, negative 82.5, negative 55, negative 27.5.

Answer 1

(b) A 2-column table with 4 rows. The first column is labeled time (t) with entries 0, 5, 10, 15. The second column is labeled calories (c) with entries 0, 27.5, 55, 82.5.

Explanation:

You want to identify the table that includes viable solutions for the equation c = 5.5t, where t is time spent dancing.

Time

The tables with negative values of time will not represent viable solutions. This eliminates the first and last choices.

The table with entries t = 0, 5, 10, 15, and c = 0, 27.5, 55, 82.5 is the appropriate choice.

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