Question

1. this graph shows a proportional relationship between the number of minutes (m) a cake factory operates and the total number of cakes (c) packed.

packing cakes
select true or false for each statement about the graph.
point p represents the total number of cakes packed in 4 minutes.
the number of cakes packed in 1 minute is 60.
the number of cakes packed in 6 minutes is 400.
true false

Explanation:

Step1: Analyze Point P

From the graph, Point P is at (4, 240) (since time m=4 minutes, cakes c=240). So it represents total cakes in 4 minutes. Check first statement: "Point P represents the total number of cakes packed in 4 minutes." → True.

Step2: Find Unit Rate

Unit rate (cakes per minute) is $\frac{240}{4} = 60$ cakes per minute. So "The number of cakes packed in 1 minute is 60." → True.

Step3: Cakes in 6 Minutes

Using unit rate 60, in 6 minutes: $60 \times 6 = 360$. The third statement says 400, which is false.

Answer:

1. Point P represents...: True
2. The number of cakes...: True
3. The number of cakes...: False