Compare Functions Worksheets Grade 8

1. Liam is comparing two different cell phone plans. Plan A charges a flat fee of $20 per month plus $0.10 per minute of talk time. Plan B charges a flat fee of $15 per month plus $0.15 per minute of talk time. Liam wants to know how many minutes of talk time would make both plans cost the same amount. Write an equation to represent this situation and solve for the number of minutes.
2. Function A: y = 4x + 6. Function B: table below. Which function has the greater y-intercept? x | y 0 | 10 2 | 14 4 | 18 6 | 22
3. Isabella is comparing two different dog-walking services. Woof Walks is described by the equation y = 7x + 12, where y is the total cost in dollars and x is the number of walks. Paws & Claws has a table of costs: for 2 walks the cost is $22, for 4 walks the cost is $37, for 6 walks the cost is $52, and for 8 walks the cost is $67. Isabella wants to know which service has a lower cost per walk and which has a lower initial fee. Which service has the lower cost per walk, and what is that cost per walk?

…and 4 more problems

1. Liam is comparing two different streaming services. Service A charges a $5 monthly fee plus $0.50 per movie watched. Service B charges a $12 monthly fee plus $0.25 per movie watched. Liam wants to know how many movies he would need to watch for both services to cost the same amount. Write an equation to represent this situation and solve for the number of movies.
2. (3 × 10⁴) ÷ (6 × 10²) = ?
3. Liam is comparing two different cell phone plans. Plan A charges a $25 monthly fee plus $0.10 per minute of talk time. Plan B charges a $15 monthly fee plus $0.15 per minute of talk time. Liam wants to know how many minutes of talk time would make both plans cost the same amount. Write an equation to represent this situation and solve for the number of minutes.

…and 4 more problems

1. Liam is comparing two cell phone plans. Plan A charges a $20 monthly fee plus $0.10 per text message. Plan B charges a $15 monthly fee plus $0.15 per text message. Liam wants to know how many text messages he would need to send for both plans to cost the same amount. Write an equation to represent this situation and solve for the number of text messages.
2. A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. If you double all three dimensions to create a larger prism, what is the ratio of the surface area of the larger prism to the surface area of the original prism?
3. Emma is comparing two different gym membership options. Gym A charges a $40 monthly fee plus $5 per fitness class attended. Gym B charges a $25 monthly fee plus $8 per fitness class. Emma wants to know how many fitness classes she would need to attend each month for both gyms to cost the same total amount. How many classes would that be?

…and 3 more problems