Question

A p

Answer 1

The answer is d) p=2a+3

Answer 2

Answer:  The correct option is (D) $p=2a+3.$

Step-by-step explanation:  Given that a farmer picked 3 more peaches than 2 times the apples. The following table shows how the number of peaches, p, depends on the number of apples, a.

a 2     3     4      5

p     7      9     11      13

We are to choose the correct equation that represents the rule.

Since the relation between the number of apples and peaches is a linear one, so the resulting equation will be a linear equation in p and a.

And, the graph will be a straight line.

From the above table, we can see that the line passes through the points

(a, p) = (2, 7) and (3, 9).

So, the slope of the line will be

$m=\dfrac{9-7}{3-2}=2.$

Since the line passes through (2, 7), so its equation will be

$p-7=m(a-2)\\\\\Rightarrow p-7=2(a-2)\\\\\Rightarrow p-7=2a-4\\\\\Rightarrow p=2a+3.$

Thus, teh required equation is $p=2a+3.$

Option (D) is CORRECT.