In a salad recipe, the ratio of carrots to broccoli must remain constant. The table below shows some possible combinations of carrots and broccoli.

Salad Ingredients
Carrots
Broccoli
3
9
4
12
6
18
7
21

If only whole vegetables can be used, what is the fewest number of vegetables that can be used to make this salad?
A.1
B.3
C.4
D.12

Question

07-09-2022
Mathematics

Answered

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In a salad recipe, the ratio of carrots to broccoli must remain constant. The table below shows some possible combinations of carrots and broccoli.

Salad Ingredients
Carrots
Broccoli
3
9
4
12
6
18
7
21

If only whole vegetables can be used, what is the fewest number of vegetables that can be used to make this salad?
A.1
B.3
C.4
D.12

Sagot :

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joaobezerra joaobezerra · Answer 1 · 2022-09-09T10:23:52-04:00

Using a proportional relationship, the fewest number of vegetables that can be used to make this salad is:

C. 4

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, looming at the table, we have that the number of Broccoli is triple the number of carrots, hence the proportional function is:

B = 3C.

When there is one carrot, the number of broccoli is given by:

B = 3 x 1 = 3.

Hence the fewest number of vegetables is of 4, as 1 carrot + 3 broccoli = 4 vegetables, hence option C is correct.

More can be learned about proportional relationships at https://brainly.com/question/10424180

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Sagot :

What is a proportional relationship?

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