Question

A p

2 7
3 9
4 11
5 13


A farmer picked 3 more peaches than 2 times the apples. The table shows how the number of peaches, p, depends on the number of apples, a. Choose the equation which represents the rule.
A) p = 2a + 2
B) p = 3 − 2a
C) p = 2a − 3
D) p = 2a + 3
   
plz help

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=(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.