study the function table below.
vases flowers
4 12
7 21
8 24
11 33
v f
Which expression could be used to find the number of flowers(f) IN (v) vases
My answer is A.Is that correct?
Answer Please
study the function table below.
vases flowers
4 12
7 21
8 24
11 33
v f
Which expression could be used to find the number of flowers(f) IN (v) vases
My answer is A.Is that correct
Can you please answer my questions??????
study the function table below.
vases flowers
4 12
7 21
8 24
11 33
v f
Which expression could be used to find the number of flowers(f) IN (v) vases
A
To determine the expression that could be used to find the number of flowers (f) in a given number of vases (v), you need to analyze the relationship between the values in the function table.
Looking at the table, we can observe that as the number of vases increases, the number of flowers also increases. Let's examine how these values change.
From the first row to the second row, the number of vases increases by 3 (7-4) and the number of flowers increases by 9 (21-12). Similarly, from the second row to the third row, the number of vases again increases by 1 (8-7), while the number of flowers increases by 3 (24-21). Finally, from the third row to the fourth row, the number of vases increases by 3 (11-8), and the number of flowers increases by 9 (33-24).
Based on this analysis, we can conclude that for every additional vase, the number of flowers increases by a constant amount of 3. This suggests that the relationship between vases and flowers can be represented by a linear function of the form f = mv + b, where m is the constant rate of change between vases and flowers, and b is the initial value of flowers for vases = 0.
To determine the value of m, we can select any two rows from the table and use their corresponding values to find the slope. Let's choose the first and second rows: (4, 12) and (7, 21).
Using the slope formula: m = (y2 - y1) / (x2 - x1)
We substitute the values: m = (21 - 12) / (7 - 4) = 9 / 3 = 3
Now that we know the value of m, we can rewrite the function as f = 3v + b.
To find the value of b, we can substitute the v and f values from any of the given table rows into the equation and solve. Let's use the first row: 12 = 3(4) + b.
Solving for b, we have: 12 = 12 + b -> b = 0
Therefore, the final expression that represents the number of flowers (f) in a given number of vases (v) is f = 3v + 0, which simplifies to f = 3v.
Based on this explanation, the correct answer is f = 3v.