Cost Function and Distance Analysis

The video tutorial explains how to calculate the total cost of renting a moving truck, which includes a fixed rental fee and a variable cost per mile driven. It introduces the concept of linear functions, detailing how to derive a cost function using the slope-intercept form. The tutorial then demonstrates how to calculate the total cost for driving a specific number of miles and how to determine the maximum distance that can be driven within a given budget.

What is the base cost to rent the truck for one day?

• $50.00

• $25.00

• $0.88

• $31.95

How much does the company charge per mile driven?

• $0.88

• $1.00

• $0.75

• $0.80

What type of function is used to model the total cost of renting the truck?

• Logarithmic

• Linear

• Exponential

• Quadratic

In the function C(D) = 31.95 + 0.8D, what does the 0.8 represent?

• Cost per mile

• Base cost

• Total cost

• Discount rate

What is the formula for the total cost function C(D)?

• C(D) = 31.95D + 0.8

• C(D) = 0.8 + 31.95D

• C(D) = 31.95 + 0.8D

• C(D) = 0.8D + 31.95

If you drive the truck for 25 miles, what is the total cost?

• $51.90

• $45.00

• $55.00

• $60.00

How do you calculate the total cost for driving a specific number of miles?

• Multiply miles by $0.8 and add $31.95

• Add $31.95 to the number of miles

• Multiply miles by $31.95 and add $0.8

• Subtract $0.8 from $31.95

What is the maximum distance you can drive with a $120 budget?

• 100 miles

• 130 miles

• 110 miles

• 120 miles

How do you determine the maximum distance you can drive with a given budget?

• Divide the budget by the cost per mile

• Subtract the base cost from the budget and divide by the cost per mile

• Add the base cost to the budget

• Multiply the budget by the cost per mile

What is the rounded maximum distance you can drive with a $120 budget?

• 105 miles

• 120 miles

• 115 miles

• 110 miles