Slope Intercept Word Problems Challenge

The video tutorial covers solving linear equation word problems using the slope-intercept form. It explains the meaning of variables in the equation y = mx + b, where m is the rate, b is the initial value, y is the total, and x is the quantity. The tutorial includes examples such as calculating costs at a fair, renting a kayak, truck depreciation, and purchasing gasoline. It also provides additional practice problems to reinforce understanding.

In the equation y = mx + b, what does the variable 'b' typically represent?

• The rate of change

• The number of items

• The total amount

• The initial value or starting point

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

• 35 rides

• 30 rides

• 25 rides

• 40 rides

What is the slope (m) in the equation for Sally's kayak rental if the cost per hour is $8.50?

• $50.50

• $3

• $25

• $8.50

How much will it cost Sally to rent the kayak for 3 hours if the deposit is $25?

• $75

• $50.50

• $33.50

• $25

If Alex's truck depreciates by $4200 per year, what is the slope (m) in the equation?

• -$42935

• $42935

• -$4200

• $4200

How many years will it take for Alex's truck to be worth $5135 if it originally cost $42935?

• 11 years

• 9 years

• 7 years

• 5 years

If a car wash costs $6 and gas is $2.35 per gallon, how many gallons can you buy with $40?

• 17 gallons

• 16.5 gallons

• 15 gallons

• 14.47 gallons

What is the total cost to download 30 songs if the app charges $2 and $1.29 per song?

• $42.50

• $40.70

• $47.70

• $45.00

How many pages will Carly have written after 5 months if she writes 12 pages per month and has already written 35 pages?

• 75 pages

• 85 pages

• 95 pages

• 105 pages

If the late fee for a library book is $2 plus $0.15 per day, how many days late was Maria if her fee was $3.20?

• 6 days

• 7 days

• 9 days

• 8 days