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

T  C

0  0

5  27.5

10 55

15 82.5

is the correct table

Answer 2

Function assigns the value one set to another. The above table is the correct table and only includes viable values.

What is Function?

A function assigns the value of each element of one set to the other specific element of another set.

The given function of the number of calories burned is c=5.5t, where t is the time, and c is the number of calories. Also, the c is the output of the input t, therefore, the variable t is independent of c while c is the dependent variable.

The viable solution is the solution in which the value of the independent function is greater than or equal to 0. therefore, the table of values that matches the equation,

t                             c = 5.5t

0                            5.5(0) = 0

1                             5.5(1) = 5.5

2                             5.5(2) = 11

3                             5.5(3) = 16.5

4                             5.5(4) = 22

5                             5.5(5) = 27.5

hence, the above table is the correct table and only includes viable values.

Learn more about Function:

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