Modeling with Rates and Ratios in Algebra 2

The video tutorial covers modeling with rates and ratios, focusing on practical applications like calculating the cost and number of pizzas for a party and determining if a car can reach the next gas station. It demonstrates how to set up problems using ratios and dimensional analysis to find solutions.

What are the two main things you need to find for the pizza party?

• Number of guests and cost per pizza

• Cost of the party and number of pizzas needed

• Number of drinks needed and cost per drink

• Number of slices per pizza and cost per slice

How can the ratio of 15 people at the party be written?

• 15 people per pizza

• 1 party per 12 slices

• 1 pizza per 15 people

• 15 people per party

What is the cost of one pizza?

• $12.50

• $15.00

• $13.99

• $14.78

How many slices are there per pizza?

• 8 slices

• 10 slices

• 12 slices

• 14 slices

What is the final cost of the pizza party?

• $65.00

• $60.00

• $55.43

• $50.00

Which ratio is used to start calculating the number of pizzas needed?

• 1 pizza per 14.78 dollars

• 1 pizza per 12 slices

• 15 people per party

• 3 slices per person

How many pizzas should you order for the party?

• 4 pizzas

• 6 pizzas

• 3 pizzas

• 5 pizzas

What is the capacity of the car's gas tank?

• 17.6 gallons

• 18.6 gallons

• 19.6 gallons

• 16.5 gallons

How many miles can the car travel per gallon?

• 15 miles

• 17 miles

• 14 miles

• 16 miles

Will the car make it to the next gas station 73 miles away?

• Yes, it can travel 80 miles on a quarter tank

• No, it can only travel 70 miles on a quarter tank

• Yes, it can travel 74.4 miles on a quarter tank

• No, it can only travel 60 miles on a quarter tank