Proportional Relationships
Write Equations
Discounts
Fractions
Decimals
Percents
100
Does the table represent a proportional relationship? If so, what is the constant?
Yes
k = 5
100
Write the equation AND answer:
A gym charges a $50 sign-up fee and $25 per month. If someone paid a total of $200, how many months did they have the membership?
Equation: 200 = 25x + 50
Answer: x = 6 months
100
A jacket costs $85. It is now on sale for 20% off the original price. Maya has a coupon for an extra 1/10 off the sale price. To the nearest dollar, how much less than the original price will Maya pay for the jacket?
$27
100
Convert 0.5 to a fraction (simplify!)
1/2
100
Convert 99% to a decimal
0.99
100
Convert 0.623 to a percent
63.3%
200
Does the table represent a proportional relationship? If so, what is the constant?
NO
200
Write the equation AND answer:
A rental car costs $40 per day plus a $60 cleaning fee. If the total cost was $220, how many days was the car rented?
Equation: 220 = 40x + 60
Answer: x = 4 days
200
A laptop costs $999. It’s on sale for 1/5 off the original price. Darren uses a store coupon for an additional 15% off the sale price. To the nearest dollar, how much less than the original price does Darren pay?
$272
200
Convert 0.75 to a fraction (simplify!)
1/4
200
Convert 0.02% to a decimal
0.0002
200
Convert 0.00001 to a percent
0.001%
300
A graph shows a straight line that goes through the origin.
Does this graph represent a proportional relationship? Explain.
Yes, proportional relationships are straight lines through the origin.
300
Write the equation AND answer:
Maria earns $15 per hour and got a $20 bonus. If she earned $125 total, how many hours did she work?
Equation: 125 = 15x + 20
Answer: x = 7 hours
300
A blender sells for $120. It is on sale for 1/4 off. Alexa uses a 10% coupon on the sale price. To the nearest dollar, how much less than the original price does Alexa pay?
$38
300
Convert 0.2 to a fraction (simplify!)
1/5
300
Convert 7/9 to a decimal
0.777777....
300
Convert 1 to a percent
100%
400
Sasha earns $18 per hour walking dogs. Is the relationship between hours worked and money earned proportional?
Yes, she earns the same amount per hour, and there is no starting fee.
400
Write the equation AND answer:
A cell phone plan has a $30 base fee and charges $5 per GB of data. If the bill was $75, how many gigabytes were used?
Equation: 75 = 5x + 30
Answer: x = 9 GB
400
A mountain bike is priced at $450. It’s on clearance for 1/4 off the original price. Paul has a 20% off coupon for the clearance price. How much less than the original price does Paul pay?
$243
400
Convert 0.125 to a fraction (simplify!)
1/8
400
Convert 1/11 to a decimal
0.090909...
400
Convert 1.1 to a percent
110%
500
A taxi company charges $4 to start a ride, plus $2 per mile. Is the relationship between miles and cost proportional?
No, the starting fee means it doesn't go through the origin.
500
Write the equation AND answer:
A taxi ride has a $4 starting fee and charges $2.75 per mile. If the total fare was $20.25, how far did the person ride?
Equation: 20.25 = 2.75x + 4
Answer: x = 5.9 miles
500
A smartwatch costs $299. It is discounted by 15%, and a bonus coupon gives another 5% off the sale price. To the nearest dollar, how much less than the original price does the buyer pay?
$63
500
Convert 0.375 to a fraction (simplify!)
3/8
500
Convert 5/12 to a decimal
0.41666666...
500
Convert 0.9 to a percent
90%