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Choosing a Table
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)
Time (t)
Calories (c)
Time (t)
-5
Calories (c)
-27.5
0
0
-20
0
-110
0
5
27.5
-15
-82.5
5
27.5
10
55
-55
10
55
-10
-5
15
82.5
-27.5
o
O

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation:

(-infinity,infinity)