Linear Functions and Word Problems

This video tutorial covers understanding proportional relationships through graphing, calculating costs in a blueberry farm scenario, determining slopes and verifying points on a line, and finding the equation of a line using given points. It provides practical examples and step-by-step instructions to help students grasp these mathematical concepts.

If Diego jogs 4 miles in 0.4 hours, how far does Priya jog in the same time?

• 3 miles

• 4 miles

• 2 miles

• 1 mile

If Priya jogs 1 mile in 0.2 hours, how long does it take her to jog 5 miles?

• 1.5 hours

• 2 hours

• 0.5 hours

• 1 hour

What is the cost of 12 pounds of blueberries at the farm?

• $33.00

• $27.50

• $19.80

• $16.50

If the cost of 1 pound of blueberries is $2.75, what is the cost of 5 pounds?

• $10.00

• $15.00

• $11.25

• $13.75

How much would 20 pounds of blueberries cost?

• $60.00

• $55.00

• $50.00

• $45.00

Which of the following points lies on the line with a slope of 5/8?

• (12, 11)

• (80, 50)

• (0, 0)

• (4, 5)

If the slope of a line is 0.625, what is the rise over run?

• 2/3

• 4/5

• 3/4

• 5/8

What is the slope of a line that passes through the points (2, -4) and (6, -1)?

• 2/3

• 1/2

• 3/4

• 4/3

Which of the following is the correct equation for a line with a slope of 3/4 passing through the point (2, -4)?

• y + 4 = 3/4(x - 2)

• y - 4 = 3/4(x + 2)

• y - 4 = 4/3(x - 2)

• y + 4 = 4/3(x + 2)

What is the y-intercept of the line with the equation y + 4 = 3/4(x - 2)?

• 2

• 0

• 3

• -4