Question

Based on the relation shown in the graph, evaluate the number of residents if the amount of food consumed is 199 pounds.

• A. 199
• B. 13
• C. 75
• D. 66

Answer 1

The correct option is D 66


Ordered pair of point A $=(1,4)$
Ordered pair of point B $=(2,7)$
Ordered pair of point C $=(3,10)$

No. of residents	1	2	3
Food consumed in a day (in lb)	4	7	10

For the second column, $4=1\times 3+1=3+1=4$
For the third column, $7=2\times 3+1=6+1=7$
For the fourth column, $10=3\times 3+1=10$
The relation is, food consumed in a day (in lb) = Number of residents $\times 3+1$
The division equation is, number of residents = {Food consumed in a day (in lb) $-1$} $÷3$
So, the number of residents if the amount of food consumed is $199$ pounds $=(199-1)÷3=198÷3=66.$
Hence, option D is correct.