Linear Function Word Problem

Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?

• 350

• 50

• -50

• -350

For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.

• y = 12 + 325

• y = 12x  + 325

• y = 325 - 12x

• y = 325x + 12

Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.

• y = 48x + 5

• y = -5 + 48x

• y = -5x - 48

• y = 48 - 5x

Andrea earns a flat fee of $20 per day plus an additional x dollars for each sale she makes.  Andrea made 10 sales last Saturday and earned a total of $80.  How much does Andrea earn for each sale she makes?

• $6

• $8

• $10

• $12

When Phil started his new job, he owed the company $65 for his uniforms. He is earning $13 per hour. The cost of his uniforms is withheld from his earnings. Write an equation that models the total money he has y after x hours of work.

• y = 13x - 65

• y = 13x + 65

• 13x - 65y = -52

• y - 65 = 13(x - 1)

Karissa earns $200 per week plus $25 per item she sells. Which form of a linear equation would best represent the relationship between the number of items she sells (x) and her pay per week (y)?

• Standard Form

• Slope Intercept Form

• Point Slope Form

• None of the above

Hudson is already 40 miles away from home on his drive back to college. He is driving 65 mi/h. Write an equation that models the total distance y after x hours.

• y = 40x + 65

• y = 65x + 40

• 40x + 65y = 105

• y - 40 = 65(x - 0)

A sign says that 3 tickets cost $22.50 and that 7 tickets cost $52.50. Which equations in point-slope form would represents the cost of tickets? Select all that apply.

• y - 22.50 = 7.50(x - 3)

• y - 52.50 = 7.50(x - 7)

• y = 7.50x

• y + 22.50 = 7.50(x + 3)

The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city's population y (in thousands of people) x years after 2010?

• y = 4x + 450

• y - 450 = 4(x - 15)

• y - 15 = 4(x - 450)

• y = 4x + 15

A pizza parlor charges $1.75 per topping, and a pizza with 5 toppings cost $14.25. What form of a linear equation would best represent this situation?

• Standard Form

• Point-Slope Form

• Slope- Intercept Form

• None of the above