graphing proportional relationships
Writing/Solving Equations from Word Problems #2
Proportional Stuff
Writing/Solving Equations from Word Problems #2
Is it a function?
100

what numbers are the orgin?

0,0

100

Solve the equation for the following word problem. Be sure to show your work and circle your final answer, or your team will receive no points.


Ms. Haley wants to go on vacation and has a budget of $850 to spend. She books a hotel for 5 days, and pays a non-refundable deposit of $215. How much was the hotel charging per-day?

The hotel was charging $127 per day

100

What is the Constant of Proportionality?

y/x

100

Solve the equation for the following word problem. Be sure to show your work and circle your final answer, or your team will receive no points.


Talitha is going on vacation to Haiti and her budget is $1,300. She wants to book an all-inclusive resort that has a non-refundable deposit of $500. If she stays for 4 days, how much is the resort charging per-day?

The resort is charging Talitha $200 per day.

100

Is it a function? {(2, 3), (4, 5), ( -2, 6)}

YES because x does not repeat

200

Using this graph, What is being compared?

 earth weight to moon weight

200

Solve the equation for the following word problem. Be sure to show your work and circle your final answer, or your team will receive no points.

Mrs. Peterson is taking 7th & 8th graders to Six Flags for the day. She has a total of $1,300 to spend for admissions. To reserve a spot for a group this big, there is a deposit of $250 to put down. If there are 50 students going on this trip, how much does each ticket cost?

Each ticket costs $21

200

Is the graph a proportional relationship? Why?

NO 

Does not go through the origin

200

Solve the equation for the following word problem. Be sure to show your work and circle your final answer, or your team will receive no points.


Kimea wants to buy K-pop albums and memorabilia. She has $1,500 to spend in total. If she bought $700 worth of memorabilia already and buys an additional 25 albums. How much is the record shop charging her per album?

They are charging her $32 per album.

200

Is it a function?

xy
24
15
26

NO because x repeats

300

what are some ways to tell if a graph is proportional

if the line is straight 

goes through the origin 

If the constant is the same


300

Solve the equation for the following word problem. Be sure to show your work and circle your final answer, or your team will receive no points.


Joseph is going to a wedding and needs to rent a tuxedo. Men's Warehouse charges a flat fee of $150 for the suit plus $50 per day. When Joseph returns the suit, he pays them $300. How many days did Jospeh have the tuxedo for?

Joseph rented his tuxedo for 3 days

300

Given the table is proportional. Solve for K 


K = 13

300

Solve the equation for the following word problem. Be sure to show your work and circle your final answer, or your team will receive no points.


Vladmir wants to fix his car. The body shop charges $23 per hour and requires a fee of $225 to be paid upfront before repairs. At checkout, Vladmir paid a total of $750. How many hours did they work on his car? Round your answer to the nearest whole number.

they worked on his car for 23 hours.

300

Is it a function?


YES because it passes the Vertical Line Test

400

Is this graph proportional? 


YES

400

Solve the equation for the following word problem. Be sure to show your work and circle your final answer, or your team will receive no points.


Edelys is buying art supplies in bulk from a warehouse. They charge a flat fee of $55 and an additional $5 per pound of supplies. If Edelys pays $95 at the register when she checks out, how many pounds of art supplies did she purchase?

Edelys bought 8 pounds of art supplies

400

Is the table proportional? 


Yes it is proportional 

400

Solve the equation for the following word problem. Be sure to show your work and circle your final answer, or your team will receive no points.


Amaree wants to rent a car for a trip. Enterprise charges him $36 per day and requires a deposit of $300 for incidentals. If Amaree paid $900 for his rental care. How much were they charging him per day?

Enterprise charged him $18.05 per day.

400

Is it a function?


NO because it does not pass the Vertical Line Test

500

What goes up and down stairs without moving?

A Carpet

500

Solve the equation for the following word problem. Be sure to show your work and circle your final answer, or your team will receive no points.


Ms. Esteves needs new tires and brakes. The auto-body shop charges a flat fee of $400 for working on the car plus an additional $30 per hour for labor. If Ms. Esteves paid $1,050. How many hours did they work on her car? Round to the nearest whole number.

They worked on Ms. Esteves's car for 22 hours

500

The more you take, the more you leave behind. What am I?

footsteps


500

Solve the equation for the following word problem. Be sure to show your work and circle your final answer, or your team will receive no points. 


Angelina wants to go to Hawaii for vacation. She has a budget of $1,000. She paid $400 for a deposit on a car rental and she's renting the car for 6 days. How much is the rental car company charging her per-day?

They charged Angelina $100 per day for her car rental.

500

What do you serve that you can't eat?

A Tennis Ball