Standard Slope Intercept and Point Slope Word Problems

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)

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)

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)

What is the equation of the line? Hint: Look the axes and reduce

• y=1/2x+10

• y=2/4x+20

• y=10/20x+20

• y=2x+10

• A line passing through (5, -3) with a slope of -2

• A line passing through (-5, 3) with a slope of 2

• A line passing through (5, 3) with a slope of -2

• A line passing through (-3, 5) with a slope of 2

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

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