Adding and Subtracting Rational Expressions

This video tutorial covers slope-intercept applications, focusing on creating equations from word problems involving initial values and constant rates of change. Examples include scenarios like computer repair costs, photo printing, ski resort visits, car mileage, rental trucks, savings accounts, weight loss, Top Golf membership, hot air balloon descent, and kayak rental. Each example demonstrates how to identify variables and set up equations in the form y = mx + b. The tutorial concludes with a joke.

What does the 'M' represent in the slope-intercept form y = mx + b?

• Independent variable

• Dependent variable

• Rate of change

• Initial value

In the equation y = 40x + 25, what does the 25 represent?

• Number of hours

• Rate of change

• Initial fee

• Total cost

If a photo printing shop charges $0.15 per print and $2.95 for shipping, what is the equation for the total cost?

• y = 2.95x - 0.15

• y = 0.15x - 2.95

• y = 2.95x + 0.15

• y = 0.15x + 2.95

Mark bought a season ticket for $395 and pays $25 per visit for ski rental. What is the equation for the total cost?

• y = 395x - 25

• y = 25x - 395

• y = 395x + 25

• y = 25x + 395

If Jay starts with 23,000 miles on her car and drives 12,000 miles per year, what is the equation for the total miles driven?

• y = 23,000x - 12,000

• y = 12,000x + 23,000

• y = 23,000x + 12,000

• y = 12,000x - 23,000

Eva starts with $500 in her savings account and saves $75 per month. How much will she have after 2 years?

• $1,800

• $3,000

• $2,300

• $2,500

Jack weighs 257 pounds and loses 3 pounds per week. What will his weight be after 12 weeks?

• 221 pounds

• 230 pounds

• 240 pounds

• 250 pounds

Max paid $127.50 for a TopGolf session with a $5 membership fee and $35 per hour. How many hours did he play?

• 2.5 hours

• 3 hours

• 4 hours

• 3.5 hours

A hot air balloon is at 1,400 feet and descends at 75 feet per minute. How long will it take to reach the ground?

• 20 minutes

• 16 minutes

• 18 minutes

• 18.67 minutes

Logan rented a kayak at 11 a.m. and paid $70, with a $25 rental fee and $7.50 per hour. What time did he return the kayak?

• 5 p.m.

• 4 p.m.

• 3 p.m.

• 6 p.m.