Question

which statements are correct interpretations of this graph? select each correct answer. there are 3 g of dietary fiber in every 2 tomatoes. there are 0.7 g of dietary fiber per tomato. there are 2 g of dietary fiber in every 3 tomatoes. there are 1.5 g of dietary fiber per tomato.

Explanation:

Step1: Calculate the unit rate

The graph passes through the point \((2,3)\). The unit rate (grams of dietary fiber per tomato) is calculated as \(\frac{y}{x}\), where \(y = 3\) (grams of dietary fiber) and \(x = 2\) (number of tomatoes). So, \(\frac{3}{2}=1.5\) grams of dietary fiber per tomato.

Step2: Check the statement "There are 3 g of dietary fiber in every 2 tomatoes"

From the point \((2,3)\) on the graph, when \(x = 2\) (number of tomatoes), \(y = 3\) (grams of dietary fiber). So, there are 3 g of dietary fiber in every 2 tomatoes.

Step3: Check the statement "There are 0.7 g of dietary fiber per tomato"

Since the unit rate is \(1.5\) grams of dietary fiber per tomato (from \(\frac{3}{2}=1.5\)), \(0.7
eq1.5\).

Step4: Check the statement "There are 2 g of dietary fiber in every 3 tomatoes"

If \(x = 3\), using the unit - rate \(y=1.5x\), then \(y = 1.5\times3 = 4.5
eq2\).

Step5: Check the statement "There are 1.5 g of dietary fiber per tomato"

As calculated in Step1, \(\frac{3}{2}=1.5\) grams of dietary fiber per tomato.

Answer:

There are 3 g of dietary fiber in every 2 tomatoes, There are 1.5 g of dietary fiber per tomato.