Unit Rates and Proportional Relationships

The video tutorial covers lesson 10 problem set, focusing on graph analysis, proportionality, and unit rates. It includes examples of jaguar speed, t-shirt costs, car rental expenses, snack mix equations, and candy pricing. The tutorial explains how to interpret graphs, calculate unit rates, and apply proportionality in various contexts.

What does the point (5, 290) represent in the context of the jaguar's movement?

• 290 seconds in 5 feet

• 5 seconds in 290 feet

• 290 feet in 5 seconds

• 5 feet in 290 seconds

How can you determine if the jaguar's speed is proportional to time?

• By checking if the graph is a straight line through the origin

• By comparing the speed with another animal

• By calculating the total distance covered

• By measuring the speed at different times

What is the unit rate for the cost of championship t-shirts?

• $22 per t-shirt

• $110 for five t-shirts

• $44 for two t-shirts

• $88 for four t-shirts

If you spent $88 on t-shirts, how many did you buy?

• 3 t-shirts

• 2 t-shirts

• 5 t-shirts

• 4 t-shirts

What does the ordered pair (4, 250) represent in the car rental context?

• 250 miles for $4

• 250 days for $4

• 4 days for $250

• 4 miles for $250

How much would it cost to rent the car for a week?

• $625

• $312.50

• $437.50

• $250

What is the unit rate for the snack mix of cashews and peanuts?

• 1 can of peanuts per 2 packages of cashews

• 2 cans of peanuts per 1 package of cashews

• 2 packages of cashews per 1 can of peanuts

• 1 package of cashews per 2 cans of peanuts

How many cans of peanuts are needed for 12 packages of cashews?

• 18 cans

• 12 cans

• 24 cans

• 6 cans

What is the unit rate for the cost of candy?

• $2 per pound

• $2.5 per pound

• $3 per pound

• $1.5 per pound

How much candy can you buy with $60?

• 30 pounds

• 24 pounds

• 18 pounds

• 12 pounds