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23 Cards in this Set
- Front
- Back
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If a person walks 1/2 mile in each 1/4 of an hour, what is their rate in miles per hour?
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(1/2 mi) / (1/4 hour) = (1*4) / (2*1) mph = 2 mph
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A baker made 1/5 batch of cookies in 1/10 of an hour. How much time will the baker need to make 1 full batch of cookies?
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(1/5 batch) * 5 = 1 full batch (1/10 hour) * 5= 5/10 hour = 1/2 hour It will take the baker 1/2 hour to make 1 full batch of cookies
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This table shows the price for different numbers of cookies. Do the numbers in a table represent a proportional relationship? Solve this problem by testing for equivalent rations in the table.
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The numbers do not represent a proportional ratio because for 1, 2, or 3, cookies the ratio is $2:1 cookie, but for 4 cookies it is $7:4 cookies and for 5 cookies it is $8:5 cookies.
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This table shows the number of flowers that a florist sold over the last number of days. Does the data represent a proportional relationship? Solve this problem by graphing on a coordinate plane.
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The data represents a proportional relationship. I can tell this because it creates a straight line through the origin when graphed on the coordinate plane.
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Identify the constant of proportionality (unit rate) in the table.
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The constant of proportionality is 40.
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Identify the constant of proportionality (unit rate) in the graph.
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The constant of proportionality is 10.
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I made a graph to show the time and distance I run each day using the formula y=4x. What is the constant of proportionality for this equation?
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The constant of proportionality is 4.
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A map of the United States has a scale of 24 cm: 18 miles, as shown in this diagram. What is the constant of proportionality for the map?
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The constant of proportionality is 4/3
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A student earns $13.50 for 3 hours of babysitting. What is the constant of proportionality (unit rate) that the student earns?
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The constant of proportionality is 4.5
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If the average duration of a song on a CD is represented by x, the number of songs on the CD is n, and the total duration of the songs from the CD is q, write a proportional equation showing the relationship between number of songs and time.
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q=xn
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In the equation you wrote to show the relationship between number of songs and time, q=xn, which variable is the constant of proportionality?
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The constant of variability is x.
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This graph shows the proportional relationship between the number of books sold over time in a store. What does the point at ( 3,15) show?
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The point at (3,15) shows that 15 books were sold in 3 minutes.
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This graph shows the proportional relationship between the number of books sold over time in a store. The point at (1,5) shows what?
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The point at (1,5) shows the constant of proportionality (or unit rate), which is 5 books per minute.
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Richard deposited $5,500 for 6 years on a 2.40% interest rate in his savings account. how much simple interest will he earn?
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$5500 x 2.4% = $132
$132 x 6 years = $792 He will earn $792. |
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The gym teacher purchased 4 new soccer balls for $13 each. At a rate of 7% sales tax, what will the gym teacher pay for the soccer balls?
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4 x $13 = $42
$42 x 7% = $2.94 $42 + $2.94 = $44.94 The gym teacher will pay $44.94 |
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A boat is marked up by 20% in order for the dealer to make a profit. If the dealer bought the boat for $375, what is the price he is selling it for?
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$375 x 20% = $75
$375 + $75 = $450 The dealer is selling it for $450. |
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I have a coupon for 30% off a pair of jeans at my favorite store. If the jeans are $49.99, what will be the discount price?
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$49.99 x 30% = $14.997
$49.99-14.997 = $34.997, round to $35.00 The discount price is $35.00 |
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At a diner, our bill came to $32.55. We tipped our waitress 15%. What was the total bill including tip?
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$32.55 x 15% = $4.88
$32.55 + $4.88 = $37.43 Our bill was $37.43 |
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A salesman earns 10% commission monthly for his shoe sales. If he sold 145 pairs of shoes at $20 each in the month of March, How much commission will he earn for the month?
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145 pairs x $20 per pair = $2900
$2900 x 10% = $290 The salesman will earn $290 commission for the month of march. |
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A pizzeria charges a 5% delivery fee on all purchases. If I purchased 6 large pizzas at $22 each for the pizza party, what will the total cost be?
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6 pizzas x $22 per pizza = $132
$132 x 5% = $6.60 $132 + $6.60 = $138.60 The total cost will be $138.60 |
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A store increased the price of their pillows by 250% in order to increase their profit. If the original price was $4 a pillow, how much are they charging now?
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$4 x 250% = $10
The store is charging $10 a pillow. |
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The gym is having a sale on monthly memberships this week. They decreased the price by 35%. If they normally charge $175 a month, what is the sale price?
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$175 x 35% = $61.25
$175 - $61.25 = $113.75 The sale price is $113.75. |
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My coach calculated that it would take me 95 minutes to run 7 miles. I actually ran the distance in 80 minutes. What is my coach's percent error?
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% error = (calculated time - actual time) / actual time x 100
% error = (90 min - 80 min) / 80 min x 100 % error = (15 min / 80 min) x 100 % error = 0.1875 x 100 % error = 18.75% |
