the time spent dancing (minutes) and the amount of calories burned can be modeled by the equation c = 5.5t…

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? time (t) calories (c) -5 -27.5 0 0 5 27.5 10 55 time (t) calories (c) 0 0 5 27.5 10 55 15 82.5 time (t) calories (c) -20 -110 -15 -82.5 -10 -55 -5 -27.5

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? time (t) calories (c) -5 -27.5 0 0 5 27.5 10 55 time (t) calories (c) 0 0 5 27.5 10 55 15 82.5 time (t) calories (c) -20 -110 -15 -82.5 -10 -55 -5 -27.5

Answer

Explanation:

Step1: Analyze viable solutions

Time cannot be negative in this context as it represents the time spent dancing. We need to find the table with non - negative time values.

Step2: Check each table

The first and third tables have negative time values ($t=-5,t = - 20$ etc.). The second table has non - negative time values ($t = 0,5,10,15$) and when we substitute these values into the equation $c = 5.5t$:

  • When $t = 0$, $c=5.5\times0 = 0$
  • When $t = 5$, $c=5.5\times5=27.5$
  • When $t = 10$, $c=5.5\times10 = 55$
  • When $t = 15$, $c=5.5\times15=82.5$

Answer:

The second table (with time values 0, 5, 10, 15 and corresponding calorie values 0, 27.5, 55, 82.5)