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.
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.
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
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.
To determine the equation that represents the relationship between the number of peaches and the number of apples, we need to analyze the given information.
According to the information provided, the farmer picked 3 more peaches than 2 times the number of apples. This can be expressed as:
Number of peaches = 2 x Number of apples + 3
From this, we can conclude that the correct equation representing the rule is:
p = 2a + 3