Understanding Slope and Cost Calculation

The video tutorial explains how to determine the slope of a graph representing the cost of tomatoes in dollars per kilogram. It begins with a problem statement about a farmer selling 26 kg of tomatoes for $78. The concept of slope is introduced as the change in the vertical axis divided by the change in the horizontal axis. The tutorial then calculates the cost per kilogram by dividing the total cost by the weight, resulting in $3 per kilogram. Finally, it analyzes different graph slopes to identify the one that correctly represents the cost per kilogram, emphasizing the importance of understanding slope in graph interpretation.

What is the total cost for 26 kg of tomatoes?

• $26

• $78

• $52

• $104

What does the slope represent in the context of this problem?

• The cost per kilogram

• The number of tomatoes

• The total cost

• The weight of tomatoes

How is the slope calculated in this scenario?

• Total weight divided by total cost

• Change in weight over change in cost

• Total cost divided by total weight

• Change in cost over change in weight

What is the cost per kilogram of tomatoes?

• $4

• $2

• $5

• $3

Which graph slope indicates the correct cost per kilogram?

• Slope of 1

• Slope of 4

• Slope of 1/3

• Slope of 3

What happens to the cost when the weight increases by 1 kg?

• Cost increases by $3

• Cost increases by $2

• Cost increases by $1

• Cost remains the same

Which graph was ruled out because the cost increased by 1/3 for each kilogram?

• The third graph

• The fourth graph

• The first graph

• The second graph

Why was the graph with a slope of 4 ruled out?

• It showed a decrease in cost

• It showed an increase of $1 per kg

• It showed an increase of $4 per kg

• It showed no change in cost

What is the correct slope for the cost per kilogram?

• 4

• 3

• 1/3

• 1

What is the final conclusion about the correct graph?

• The graph with a slope of 1/3 is correct

• The graph with a slope of 4 is correct

• The graph with a slope of 3 is correct

• The graph with a slope of 1 is correct