Y-Intercepts & Slope: Real-World Math Challenges for 8th Graders

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. What is the y-intercept of the equation representing the total cost?

• 50

• $100

• $0

• $50.20

If the equation for a line representing the temperature in degrees Fahrenheit over time is T = 5t + 32, what does the slope represent in this context?

• The slope indicates the initial temperature at time zero.

• The slope represents the rate of change of temperature with respect to time.

• The slope represents the maximum temperature achievable.

• The slope shows the total temperature over a period of time.

A gym charges a monthly membership fee of $30 and an additional $10 per class attended. What is the y-intercept of the cost equation?

• 30

• $10

• $40

• $20

A phone plan costs $25 per month plus $0.10 per text message sent. What is the slope of the cost equation, and what does it represent?

• 0.25

• $25 per text message

• $0.10 per month

• 0.10

A delivery service charges a base fee of $15 and $2 for each mile driven. What is the y-intercept of the cost equation?

• $10

• $20

• 15

• $5

In a school, the number of students participating in a club increases by 5 each month. If the initial number of students is 20, what is the slope and what does it represent?

• The slope is 10, representing the total number of students after two months.

• The slope is 0, indicating no change in student participation.

• The slope is 5, representing the total number of students in the club.

• The slope is 5, representing the increase of 5 students each month.

A taxi company charges a flat rate of $3 plus $2 per mile. What is the y-intercept of the equation for the total fare?

• 3

• 5

• 0

• 2

A gardener charges $50 for the first hour and $15 for each additional hour. What does the slope of the cost equation indicate?

• The slope of the cost equation is $15 per hour.

• The slope of the cost equation is $50 per hour.

• The slope of the cost equation is $15 for the first hour.

• The slope of the cost equation is $35 per hour.

A subscription service costs $10 per month plus a one-time fee of $20. What is the y-intercept of the equation?

• 10

• 30

• 15

• 20

A local bakery sells cupcakes for $3 each and has a fixed cost of $15 for ingredients. What does the slope of the cost equation represent?

• The slope represents the total cost of all cupcakes.

• The slope represents the fixed cost of ingredients.

• The slope represents the profit made per cupcake.

• The slope represents the variable cost per cupcake, which is $3.