Understanding Linear Functions and Cost Analysis

The video tutorial explains how to determine the cost of purchasing frozen bananas using a linear function. It covers calculating the slope and average rate of change, finding the vertical intercept, and forming the linear equation. The tutorial also demonstrates how to use the function to calculate costs for specific quantities and determine the number of items from a given cost.

What is the relationship between the number of items purchased and the cost in this scenario?

• Exponential

• Linear

• Quadratic

• Logarithmic

How do you calculate the average rate of change in this context?

• Difference between highest and lowest cost

• Sum of costs divided by number of items

• Change in number of items divided by change in cost

• Change in cost divided by change in number of items

What does the slope of 1.71 represent in this problem?

• The cost per dozen bananas

• The cost per banana

• The total cost for 100 bananas

• The cost per 10 bananas

What is the vertical intercept in this linear function?

• 1.71

• 0

• 17.1

• 10

What is the linear equation derived from the given data?

• c = 1.71n + 10

• c = 10n + 1.71

• c = 1.71n

• c = n + 1.71

What is the significance of the point (0, 0) in this context?

• It is the maximum cost

• It shows the cost of one banana

• It represents the cost of 10 bananas

• It indicates no cost when no bananas are purchased

How much does it cost to purchase 430 bananas?

• $735.30

• $430.00

• $1,000.00

• $1,385.10

What does the ordered pair (430, 735.3) represent?

• The cost of 430 bananas is $735.30

• The cost of 735 bananas is $430.00

• The cost of 1 banana is $735.30

• The cost of 430 bananas is $1,385.10

If the cost is $1,385.10, how many bananas were purchased?

• 810

• 430

• 500

• 1,000

What is the formula used to find the number of bananas when given a cost?

• Subtract 1.71 from the cost

• Divide the cost by 1.71

• Multiply the cost by 1.71

• Add 1.71 to the cost