Question

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The table shows the relationship between the number of drops of food color added to different number of cups of cake frosting. Look at the first picture.


Which point below shows an equivalent ratio in this situation? Look at the second picture.

A. Point B, because if cups of frosting are 50, then drops of food coloring will be 200
B. Point B, because if drops of food coloring are 50, then cups of frosting will be 200
C. Point J, because if cups of frosting are 40, then drops of food coloring will be 10
D. Point J, because if drops of food coloring are 40, then cups of frosting will be 10

Answer 1

Answer: A) Point B, because if cups of frosting are 50, then drops of food coloring will be 200.


This is because the proportion of frosting to food coloring is 1:4, and if the answer to A is simplified (50:200), the ratio would be the same.

Answer 2

Option A. will be the answer.

Explanation:

From the given table we will find the relation first and the we will try to find the point with the same relation in the graph.

From the given table ratio of Cups of frosting and Drops of food color is =
`\frac{\text{Cups of frosting}}{\text{Drops of food color}}`

=
`(2)/(8)`

=
`(1)/(4)`

Or 1 : 4

Now the point B shows the ratio between food color and frosting =
`\frac{\text{Cups of frosting}}{\text{Drops of food color}}`

=
`\frac{\text{x-coordinates}}{\text{y-coordinates}}`

=
`(50)/(200)`

=
`(1)/(4)`

The same ratio 1 : 4

Option A. will be the answer.