the number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the…

the number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation c = 3.5b. which table of values matches the equation and includes only viable solutions? loaves (b) cost (c) -2 -7 0 0 2 7 4 14 loaves (b) cost (c) 0 0 0.5 1.75 1 3.5 1.5 5.25 loaves (b) cost (c) 0 0 3 10.5 6 21 9 31.5
Answer
Explanation:
Step1: Analyze viable solutions
The number of loaves of bread $b$ cannot be negative or a non - whole number in a real - world context (you can't buy a negative number of loaves or a fraction of a loaf in a typical sense).
Step2: Check each table
In the first table, $b=-2$ is not a viable solution. In the second table, $b = 0.5$ and $b=1.5$ are not viable solutions. In the third table, $b = 0,3,6,9$ are all whole non - negative numbers.
Step3: Verify the equation
For $b = 0$, $c=3.5\times0 = 0$; for $b = 3$, $c=3.5\times3=10.5$; for $b = 6$, $c=3.5\times6 = 21$; for $b = 9$, $c=3.5\times9=31.5$.
Answer:
The third table (Loaves ($b$): 0, 3, 6, 9; Cost ($c$): 0, 10.5, 21, 31.5)