Linear Functions and Word Problems

This video tutorial covers Math 8 Unit 3 Lesson 14, focusing on using linear relations to solve real-world problems. It includes examples like buying fruit, managing savings accounts, and determining seating arrangements in a restaurant. The lesson also involves graphing different scenarios and analyzing slopes. Key concepts include writing equations, understanding slopes and intercepts, and applying these to practical situations.

If grapes cost $2.39 per pound and bananas cost $0.59 per pound, how much would 3 pounds of grapes and 5 pounds of bananas cost?

• $13.45

• $10.77

• $11.92

• $12.34

A savings account starts with $50 and $20 is deposited weekly. How much is in the account after 4 weeks?

• $150

• $130

• $110

• $90

Which line represents a savings account that starts with $80 and decreases by $10 each week?

• Line E

• Line A

• Line C

• Line H

What is the equation for a line with a slope of 20 and a y-intercept of 50?

• y = 20x + 50

• y = 50x + 20

• y = 20x - 50

• y = 50x - 20

If the fish market spends $210 on tilapia and salmon, with tilapia costing $3 per pound and salmon $5 per pound, how many pounds of salmon can be bought if no tilapia is purchased?

• 60 pounds

• 42 pounds

• 70 pounds

• 50 pounds

In the fish market problem, if 10 pounds of tilapia are bought, how many pounds of salmon can be purchased?

• 36 pounds

• 30 pounds

• 40 pounds

• 42 pounds

For the restaurant seating problem, if only tables for two are used, how many tables are needed to seat 120 people?

• 50 tables

• 60 tables

• 40 tables

• 30 tables

In the restaurant seating problem, what does the slope of -1/2 represent?

• Adding two tables for four decreases one table for two

• Adding one table for two decreases two tables for four

• Adding one table for four decreases two tables for two

• Adding two tables for two decreases one table for four

What is the equation for an isosceles triangle with two angles of x degrees and one angle of y degrees?

• 2x + y = 90

• 2x + y = 180

• x + 2y = 180

• x + y = 90

If a triangle has angles of 40°, 40°, and y°, what is the value of y?

• 80°

• 100°

• 120°

• 140°