Unit Rate
Graphs & Tables
Constant of Proportionality
Word Problems
The Better Buy
100
A shopper bought a 12-pound bag of oranges for $18.75. What was the unit price in price per pounds?
$1.56 per pound
100
How far does Glenda swim in 4 seconds?
8 ft.
100
Alicia made 15 bracelets and decides to sell them for $8.00 each for a total of $120. What is the constant of proportionality in this situation?
k = $8.00
100
Steve drives 78 miles on 3 gallons of gas. Find the miles per gallon.
26 miles per gal.
100
It costs $3.99 for 25 fl. oz. of detergent or $6.99 for 90 fl. oz. Which is a better buy?
90 fl. oz.
$.08 per fl. oz.
200
Derek applies grass seed to 2/5 acre in 3/4 hour. How many acres can Derek cover per hour?
8/15 acre per hour
200
Logos Internet Café provides Internet access for a fee. What is the fee per minute?
$.80 per minute
200
Write an equation that shows the relationship between time (x) and distance (y).
d = kt
200
Lia cycled a total of 6 kilometers by making 3 trips to work. After 4 trips to work, how many kilometers will Lia have cycled in total?
8 kilometers
200
Mrs. Evans wants to buy scented erasers for all 140 of her students. The store sells packs in three sizes: $2.49 for a pack of 10, $3.29 for a pack of 14 and $4.50 for a pack of 20.
Which pack is the most economical (least expensive per eraser)?
The 20 pack, $.23 a piece.
300
A machine stamps 360 metal parts in 15 minutes. Find the unit rate in parts per hour.
1,440 metal parts per hour
300
The table shows the distance traveled by an object moving at a constant speed. What is the constant of proportionality?
Seconds 10 15 20
Meters 85 127.5 170
8.5 meters per sec.
300
A car travels 663 miles using 13 gallons of gas. Suppose that the relationship between the distance traveled and the amount of fuel used by this car is proportional.
What is the equation that represents this proportional relationship?
663 = k(13)
k =51
300
Evan earned a total of $12 by selling 3 cups of lemonade. How many cups of lemonade does Evan need to sell in all to earn $20?
5 cups
300
Small Jif peanut butter for $2.59 for 18oz., or Large Jif peanut butter for $4.79 for 40oz.
Which is the better buy? What is it?
Large Jif = $.14 per oz.
400
Laura decides to walk to her job. She walks 1 1/5 miles in 2/3 hour. What is Laura’s walking rate in miles per hour?
1 4/5 miles per hour
400
The table shows a person saving money at a constant rate.
Weeks 2 4 6 8
Total Savings ($) 60 120 180 240
How much will this person save in
70 days?
$210
400
What's the constant of proportionality?
(15, 9), (78, 46.8)
k=1.66
400
Debbie prepared 10 kilograms of dough after working 2 hours. How many hours did Debbie work if she prepared 20 kilograms of dough?
4 hours
400
3 batteries for $4.80 or 12 batteries for $14.76
12 batteries for $14.76 $1.23 per battery
500
A shoreline is eroding at a rate of 1/3 foot per 3 months. How many feet are eroding per year?
1 1/3 feet per year
500
Write an equation for the relationship shown on this graph if the price per ticket is doubled.
y=4x
500
Bob's Burger Barn has a special deal of 4 hamburgers for $6.
At this rate, how much would 3 hamburgers cost?
$4.50
500
Denise bought 5.2 pounds of rice for $5.29. Using the unit rate, how much would 2 pounds of rice cost?
$2.04
500
8 pencils for $0.99, 12 pencils for $1.49, 15 pencils for $1.75
15 pencils for $1.75
1 Pencil = $.116