Question

A fruit vendor noticed a proportional relationship between the sales of two of its most popular items, pounds of apples and pounds of oranges. The graph below shows the relationship between the two items.
What is true or false


The point 1, 2/3 on the line shows that the unit rate of pounds of apples sold to pounds of oranges sold is 2/3 of a pound of apples per pound of oranges. (True or false


The point (15,10) on the line shows that for every 10 pounds of oranges sold, there will be 15 pounds of apples sold. (True or false)


The point (18,12) on the line shows that for every 12 pounds of apples sold, there will be 18 pounds of oranges sold. (True or false)


The point (12,8) on the line shows that for every 8 pounds of oranges sold, there will be 12 pounds of apples sold. (True or false)

Answer 1

For the given proportional relationship, we have:

1) true

2) true

3) false

4) true.

What is true or false about the proportional relationship?

Here we have a proportional relationship between the number of apples and oranges sold, represented by the given graph.

Remember that a proportional relationship is written as:

y = k*x

• Where k is the constant of proportionality.
• x is the number of pounds of apples sold.
• y is the number of pounds of oranges sold.

We can see that the line passes through the point (6, 4), so we can replace:

4 = k*6

4/6 = k = 2/3

Now we know the constant of proportionality.

Then the statements are:

1) True, the unit rate is equal to the constant of proportionality.

2) True, the point (15, 10) means that if they sell 15 pounds of apples, they also sell 10 pounds of oranges.

3) False, (18, 12) means that if they sell 18 pounds of apples, they will sell 12 pounds of oranges.

4) True, same reasoning as in point 2.

If you want to learn more about proportional relationships:

brainly.com/question/12242745

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