Practice Comparing Functions

Angela and Ben each hire a different plumber. Angela's plumber bill is represented by the function y=0.15x+49, where x represents the minutes worked and y represents the total cost. The cost of Ben's plumber for various amounts of time is shown in the graph. Who's plumber cost more per minute? How much more?

• Angela

• Ben

• $0.05

• $0.50

• $0.10

Angela and Ben each hire a different plumber. Angela's plumber bill is represented by the function y=0.15x+49, where x represents the minutes worked and y represents the total cost. The cost of Ben's plumber for various amounts of time is shown in the graph. How much will each plumber cost if it takes 360 minutes to fix each issue?

• Angela will pay $118

• Ben will pay $112

• Angela will pay $103

• Ben will pay $96

• Ben will pay $105

The 8th grade class is selling pizzas and hoagies for a fundraiser. The amount of money they earn selling pizzas is shown in the table. The amount of money they earn selling hoagies can be represented by the function y=8x, where y is the total amount of money earned and x is the number of hoagies sold. How much money is raised for selling each item?

• Hoagies = $4 per hoagie

• Hoagies = $8 per hoagie

• Pizzas = $10 per pizza

• Pizzas = $5 per pizza

The 8th grade class is selling pizzas and hoagies for a fundraiser. The amount of money they earn selling pizzas is shown in the table. The amount of money they earn selling hoagies can be represented by the function y=8x, where y is the total amount of money earned and x is the number of hoagies sold. How much more money will the students raise from the hoagies if they sell 100 of both items.

• $150

• $300

• $800

• $500

• $600

The 8th grade class is selling pizzas and hoagies for a fundraiser. The amount of money they earn selling pizzas is shown in the table. The amount of money they earn selling hoagies can be represented by the function y=8x, where y is the total amount of money earned and x is the number of hoagies sold. How much will be raised if students sell 500 of both items?

• $150

• $1,500

• $8,000

• $6,500

• $9,500

Jack is switching careers and has two job offers. Job #1 is offering Jack a beginning salary of $55,000 with an increase of $600 per year he continues working there. The offer from Job #2 is shown in the table. Compare the functions by comparing their rates of change.

• Jack's salary will increase $300 more each year with Job #1 over Job #2.

• Jack's salary will increase the same amount with both jobs.

• Jack's salary will increase $400 more each year with Job #2 over Job #1.

• Jack will make $15,000 more per year with Job #2.

Jack is switching careers and has two job offers. Job #1 is offering Jack a beginning salary of $55,000 with an increase of $600 per year he continues working there. The offer from Job #2 is shown in the table. Compare the functions by comparing their y-intercepts.

• Jack will make $10,000 less at Job #2 over his career than Job #1.

• Jack will make $15,000 more if he starts working at Job #2 instead of Job #1.

• Jack will make $25,000 more per year with Job #2 instead of Job #1.

• Jack will make $12,500 less if he starts working at Job #2 instead of Job #1.

Jack is switching careers and has two job offers. Job #1 is offering Jack a beginning salary of $55,000 with an increase of $600 per year he continues working there. The offer from Job #2 is shown in the table. Write the equations for each function.

• Job #1: 600x + 55,000

• Job #1: 55,000x + 600

• Job #2: 300x + 70,000

• Job #2: 300x + 70,600

• Job #2: 600x + 70,300

Jack is switching careers and has two job offers. Job #1 is offering Jack a beginning salary of $55,000 with an increase of $600 per year he continues working there. The offer from Job #2 is shown in the table. Which job will have a higher salary in year 35? How much more?

• Job #1

• Job #2

• $4,500

• $5,500

• $7,000

The graph and table represent the altitude of two planes on their descent to land, a Jet Blue and Southwest plane. Compare the functions by comparing their rates of change.

• The Jet Blue plane descends 500 more miles every minute.

• The Southwest plane descends 300 less miles every minute.

• The Southwest plane descends 800 more miles every minute.

• The Jet Blue plane descends 700 less miles every minute.