Yes No. A car is traveling at a steady rate of 15 miles per hour. Your cell phone plan costs $20 at the start of each month, and then $0.05 per text. ...
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Chapter 1 Review Sheet SHOW ALL STEPS FOR ALL PROBLEMS. THE CALCULATOR IS A TOOL FOR CALCULATIONS AND YOU CANNOT JUST WRITE AN ANSWER WITH NO WORK! Find each unit rate. If necessary, round money to the nearest penny (hundredths place). 1.
250 miles traveled in 10 hours.
2. $ 150 for 7 tickets
Simplify.
3.
4.
In problems 5 and 6, determine if the situations represent proportional relationships. You must show all ratios and give all unit rates for credit. Then answer yes or no. 5. The table shows the cost of ordering different numbers of pizzas.
6. The table shows the cost toilet paper at the store. Cost ($) Number of Rolls
$5.10 6
$9.60 12
$18.00 24
In problems 7 and 8, find the Constant Rate of Change. 7. What is the constant rate of change of the table below?
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8. What is the constant rate of change in the graph below? (water = oz)
9. a) Does the graph show a proportional relationship? b) Explain.
10-11 Solve each proportion. You must write an equation and solve it algebraically for credit. 2.5 x 10. = ? 11. 4 6
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12.-13. Solve each proportional word problem. You must write a proportion, then write and solve an equation like on #10 and 11 for credit. 12. If it takes 12 gallons of gas to drive 360 miles, how many miles can be driven using 30 gallons of gas?
13. Sanjay can travel 416 miles in 8 hours. At this rate, if went 572 miles, how many hours did it take him?
14. Which size can of green beans shown in the table has the lowest unit price? You must write all ratios and give the unit rate of each size for credit.
A. 6 oz
B. 8 oz
C. 10 oz
D. 32 oz
Size (oz) 6 8 10 32
Cost ($) 0.99 1.30 1.95 5.84
15. The table shows the cost for ordering a certain number of tacos. What is the value of x if the cost is proportional to the number of tacos ordered? Tacos Ordered Cost
2
3
4
6
$2.30
$3.45
$4.60
x
16. Bella and her family are planning a vacation that involves a boat rental. Boats R Us charges $30 per hour plus an additional extra one time charge of $50. Part A: Complete the table to determine the total price for different amounts of riding time. Number of Hours
1
2
3
4
Total Price ($) Part B: Is the total price proportional to the number of hours spent on the boat? Justify your response.
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17. Select whether the relationship between each pair of quantities is proportional.
Yes
No A car is traveling at a steady rate of 15 miles per hour Your cell phone plan costs $20 at the start of each month, and then $0.05 per text. Jana makes $10/hour babysitting. The tank filled 40 gallons in 1 hour, 80 gallons in 2 hours, and 120 gallons in 3 hours Tommy starts with $50 already, and then starts earning money at a rate of $20 per hour. An ice cream cup costs $1.50 plus an additional $0.25 per topping
18. The graph shows the amount of money earned based on the number of hours worked. Find the constant rate of change for the graph. Then explain what the points (0,0) and (2,30) represent in context of the problem.
Rate of Change
19.
Fran reads 128 pages in 80 minutes. Select all of the rates that have the same constant rate of change as Fran’s rate. 180 pages in 2 hours 60 pages in 30 minutes 240 pages in 2 hours 96 pages in 1 hour 225 pages in 150 minutes 224 pages in 2 hours 20 minutes