Linear Relationships and Word Problems

The video covers understanding and representing proportional and linear relationships using graphs, tables, and equations. It explains how to calculate slope, interpret intercepts, and solve linear equations. The content is structured around practical examples, such as jogging speeds, blueberry costs, and pizza delivery fees, to illustrate mathematical concepts.

If Priya jogs 1 mile in 0.2 hours, how far does Diego bike in the same time if he is twice as fast?

• 2 miles

• 4 miles

• 1 mile

• 3 miles

In the tortoise and hare race, if the hare runs 16 miles, how many miles does the tortoise run according to the relationship y = 4x?

• 8 miles

• 4 miles

• 12 miles

• 16 miles

What is the rate of change in a linear relationship where y increases by 15 when x increases by 1?

• 20

• 10

• 15

• 25

If a customer pays $80 for pizza delivery, and the delivery fee is $3, how many pizzas did they order if each pizza costs $11?

• 8 pizzas

• 7 pizzas

• 6 pizzas

• 5 pizzas

In a painting service, if the slope of the cost line is 50, what does this represent?

• Cost of supplies

• Hourly labor charge

• Total cost

• Discount rate

What does the slope of 1/4 in the ticket sales scenario represent?

• Each ticket costs $1

• Each ticket costs $0.25

• Each ticket costs $4

• Each ticket costs $0.50

In the muffin delivery example, what does the y-intercept of 3 represent?

• The total cost for three muffins

• The cost of one muffin

• The delivery charge

• The cost of two muffins

If Noah uses 10 cups of sugar, how much flour does he need according to his recipe?

• 5 cups

• 10 cups

• 15 cups

• 20 cups

What is the slope of a line that represents a plane descending at 1000 feet per minute?

• Negative

• Zero

• Undefined

• Positive

How much does each turkey sandwich add to the cost of delivery if 4 sandwiches cost $33 and 8 sandwiches cost $61?

• $5

• $6

• $7

• $8