Question

Finn is baking cakes for a party. The number of cups of sugar Finn needs is proportional to the number of cakes he plans to bake. Which statements are true about the number of cups of sugar Finn needs?

Select each correct answer.
Finn needs 6 cups of sugar for 4 cakes.
Finn needs 1 cup of sugar for 1 1/2 cakes.
Finn needs 4 cups of sugar for 6 cakes.
Finn needs 1 1/2 cups of sugar for 1 cake.

Answer 1

Answer:

Finn needs 6 cups of sugar for 4 cakes, and Finn needs 1 1/2 cups of sugar for 1 cake.

Step-by-step explanation:

On the graph, we go over to 4 cakes along the independent axis.  We go up to the line to see that the line goes through the point (4, 6).  

On the graph, we go over to 1 1/2 cakes along the independent axis.  We go up to the line to see that the line goes through the point (1 1/2, 2).  This is not the point (1 1/2, 1).

On the graph, we go over to 6 cakes along the independent axis.  We go up to the line to see that the line goes through the point (6, 9).  This is not the point (6, 4).

On the graph we go over to 1 cake along the independent axis.  We go up to the line to see that the line goes through the point (1, 1/2).

Answer 2

Graphs of proportional equations pass through the origin

The true statements are:

• (a) Finn needs 6 cups of sugar for 4 cakes.
• (d) Finn needs 1 1/2 cups of sugar for 1 cake.

The points on the graph are:

$\mathbf{(c,s) = (1,1\frac 12),(4,6)}$

Where c and s represent the number of cakes and the amount of sugar respectively.

This means that:

• 1 cake requires 1 and half cup of sugar
• 4 cakes require 6 cups of sugar

Hence, the true statements are: (a) and (d)

Read more about proportional equations at:

https://brainly.com/question/894687