Representing Linear Situations

Alex bought a new truck for $42,935. According to the dealer, the truck will depreciate(lose value) approximately $4,200 per year. Which equation best describes the value of his truck?

• y= -4200x+42935

• y= 4200x+42935

• y= 4200x-42935

• y= -4200x-42935

A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a total of 12 pounds of food per day. What does the y-intercept mean in this situation?

• Eating 12 pounds of food per day

• Beginning the trip with 250 pounds of food

• 262 pounds of food on the first day

• 238 pounds of food on the first day

A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a total of 12 pounds of food per day. What does the slope mean in this situation?

• Eating 12 pounds of food per day

• Beginning the trip with 250 pounds of food

• 262 pounds of food on the first day

• 238 pounds of food on the first day

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

• $6 per hour

• $5 per hour

• $1 for 6 hours

• $1 for 5 hours

Which statement below accurately represents the graph?

• $100 is earned for each hour worked

• $100 is earned for every 2 hours worked

• $500 is earned for every 8 hours worked

• $200 is earned for every 3 hours worked

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

• y = 5 + 12x

• y = 12x

• y = 7x + 5

• y = 12x + 12

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?

• y = 425x + 600

• y = 425 + 600x

• y = 400x + 625

• y = 400 + 625x

Michelle and her husband want to go skydiving! The equation, f(x) = 12000 - 125x, represents the height (in feet) of the skydivers, f(x), after x seconds of falling. Michelle and her husband are adrenaline junkies so they have asked to increase the starting jump height by 500 feet and will deploy their parachute late which will change their falling speed to 200 feet per second. What equation represents these changes?

• y = 12000 - 200x

• y = 12500 + 75x

• y = 12500 - 200x

• y = 12200 - 625x

You earn $18 for every 2 hours you work. Which equation represents this?

• y=(18/2)x + 0

• y = 18x

• y = 2x + 18

• y = 18x + 2

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

• 15x + 3x = 99    and 6 movies

• 15x + 3 = 99 and 6 movies

• 3x + 15 = 99 and 28 movies

• 3x + 99 = 15 and 28 movies