Question

Select the correct relation between corn produced (p) and corn bought (b) based on the following graph:

• A. b = 3p
• B. b = 2p + 3
• C. b = 2p
• D. b = 3p + 2

Answer 1

The correct option is D b = 3p + 2

Plotting a table from the graph between corn produced (p) and corn bought (b), we have:

Corn bought (b) units	5	8	11
Corn produced (p) units	1	2	3

If we take p = 1, the value of b can be expressed as: b = 3 $\times$ 1 + 2
$\Rightarrow$ b = 3 + 2
$\Rightarrow$ b = 5

Similarly, if we take p = 2, the value of b can be expressed as: b = 3$\times$ 2 + 2
$\Rightarrow$ b = 6 + 2
$\Rightarrow$ b = 8

∴ By observing the pattern, we get,
Corn bought (b) = Two more than thrice the corn produced (p)
i.e. b = 3p + 2