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.

Answer 1

Possible equations:
- p = 2a + 3
- p = 2(a + 3)
- p = 3a + 2
- p = (a + 3) / 2

To determine the correct equation, we can plug in the values in the table and see which one works. For example, when a = 2, we expect p to be 3 more than twice 2, which is 7. Looking at the equations:
- p = 2a + 3 gives 7 when a = 2.
- p = 2(a + 3) gives 10 when a = 2.
- p = 3a + 2 gives 8 when a = 2.
- p = (a + 3) / 2 gives 2.5 when a = 2.

Therefore, the equation that fits the data is p = 2a + 3.

Answer 2

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.
Responses
A p = 2a + 3
B p = 3 − 2a
C p = 2a − 3
D p = 2a + 2

Answer 3

The correct equation is A) p = 2a + 3, since the problem states that the farmer picked 3 more peaches than 2 times the apples, which can be written as p = 2a + 3. The other equations are not equivalent to this relationship.