Linear Word Problems in Slope-Intercept Form

The video tutorial covers the use of slope-intercept form in solving word problems. It begins with a reminder about homework and then introduces the concept of slope-intercept form, explaining its components: slope (m) and intercept (b). The teacher walks through four examples: calculating rides at a fair, renting a canoe, car depreciation, and purchasing gasoline. Each example involves writing and solving a linear equation. The session concludes with instructions for an assignment.

What is the general form of the slope-intercept equation?

• y = a/x + b

• y = mx - b

• y = ax^2 + bx + c

• y = mx + b

In the slope-intercept form equation, what does 'm' represent?

• The x-intercept

• The y-intercept

• The slope

• The constant term

If the admission to a fair is $5 and each ride costs $0.50, how many rides can you go on with $20?

• 40 rides

• 25 rides

• 35 rides

• 30 rides

What is the starting point (intercept) in the equation for the fair rides problem?

• $20

• $0.25

• $5

• $0.50

If the canoe rental costs $6.50 per hour with a $25 deposit, what is the total cost for 3 hours?

• $47.00

• $46.50

• $45.00

• $44.50

In the canoe rental problem, what does 'x' represent?

• The rate per hour

• The total cost

• The number of hours

• The deposit amount

If a car depreciates by $3000 per year, how many years will it take for a $25,635 car to be worth $3,135?

• 7.5 years

• 8.5 years

• 6.5 years

• 5.5 years

In the car depreciation problem, what does the negative slope indicate?

• The car's value is fluctuating

• The car's value is increasing

• The car's value is decreasing

• The car's value is constant

If a car wash costs $5 and gas is $3.10 per gallon, how many gallons can you buy with $40?

• 12.29 gallons

• 11.29 gallons

• 13.29 gallons

• 10.29 gallons

In the car wash and gas problem, what does 'y' represent?

• The number of gallons

• The cost of the car wash

• The total cost

• The cost per gallon