Week 5 CheckPoint - JustAnswer



|NAME: | |B99 |

Instructions: In order to complete your assignment in an organized and efficient manner, please use this template to type your work and answers. Save this template to your computer, complete the problems (showing all work as if you did not have a calculator, unless otherwise stated), and post as an attachment to your forum. If you cannot read the problems on this template, refer to the eTextbook on the course aXcess page. Note: DO NOT CHANGE RATIOS TO MIXED NUMBERS because they are not fractions. Mixed numbers is a format applied only to fractions.

REMEMBER: NO WORK = NO CREDIT

|Problems (2 points each) |TYPE YOUR SOLUTION(S) HERE |

|Section 5.1 #8 (pg. 381) |Convert to improper fractions: |

| |28/5 to 21/10 |

|Write the following ratio in simplest form. |Multiply by 10: |

|8. The ratio of [pic]to [pic] |56 to 21 |

| |Divide by 7: |

| |8 to 3 |

|Section 5.1 #24 (pg. 381) |7 dimes = 0.7 |

| |3 quarters = 0.75 |

|Write the following ratio in simplest form. |0.7 to 0.75 |

|24. The ratio of 7 dimes to 3 quarters |Multiply by 100: |

| |70 to 75 |

| |Divide by 5: |

| |14 to 15 |

|Section 5.1 #34 (pg. 383) |3 hours = 180 minutes |

| |180 to 150 |

|34. Marc took 3 hours to mow a lawn while Angelina took 150 |Divide by 10: |

|minutes to mow the same lawn a week earlier. Write the ratio of|18 to 15 |

|Marc’s time to Angelina’s time as a ratio of whole numbers. |Divide by 3: |

| |6 to 5 |

| | |

|Section 5.2 #14 (pg. 390) |240 divided by 6 |

| |= 40 pounds per lawn |

|Find the rate. | |

|14. [pic] | |

|Section 5.2 #30 (pg. 392) |4.75/5 = 0.95 |

| |19.92/20 = 0.996 |

|30. Which is the better buy: 5 pounds of sugar for $4.75 or 20 |The 5 pounds is a better buy. |

|pounds of sugar for $19.92? | |

| | |

|Section 5.3 #10 (pg. 400) |8/15 = 24/45 |

| | |

|Write the proportion that is equivalent to the given statement.| |

|10. If Maria hit 8 home runs in 15 softball games, then she | |

|should hit 24 home runs in 45 games. | |

|Section 5.3 #28 (pg. 401) |Cross multiply: |

| |5*120 = 600 |

|Determine whether each pair of fractions is proportional. |8*75 = 600 |

|28. [pic] |They are the same, so YES. |

|Section 5.3 #48 (pg. 402) |Cross multiply: |

| |12*1240 = 14880 |

|Determine if the given rates are equivalent. |9*8329 = 74961 |

|48. [pic] |No, they are different. |

| | |

|Section 5.5 #16 (pg. 415) |Price of 1: |

| |5.5/2 = 2.75 |

|16. A store has T-shirts on sale at 2 for $5.50. At this rate, |Multiply by 5: |

|what do five T-shirts cost? |5*2.75 = $13.75 |

| | |

|Activity 15: Question 1 (pg. 420) |Calorie information: |

| |Important fact is that a person needs to burn off 3,500 calories more than he or she takes in to |

|1. If a person jogs at a rate of 5½ miles per hour for 3½ hours|lose 1 pound. The following table is shows the number of calories burned per hour based on a 150 |

|in a week, how many calories do they burn? |pound person. |

| | |

| |Bicycleing 6 mi/h 240   running 10 mi/h 1,280 Bicycle 12mi/h 410 |

| |Cross-ctry skiing 700   Jogging 5 1/2 mi/h 740 jogging 7 mi/h 920 |

| |Jump Rope 750 Running in place 650 Swimming 10mi/h 275 |

| |Swimming 50yd/min 500 Tennis (single) 400 walking 2 mi/h 240 |

| |walking 3mi/h 320 walking 4 1/2 mi/h 440 |

| | |

| |Jogging at that rate burns 740 calories per hour. |

| |Multiply that by 3 ½ hours: |

| |= 2590 calories |

|Activity 15: Question 2 (pg. 420) |15 minutes is ¼ of an hour |

| |Multiply that by 650 calories |

|2. If a person runs in place for 15 minutes, how many calories |¼ * 650 |

|will be burned? |= 162.5 calories (162 ½) |

|Activity 15: Question 3 (pg. 420) |Skiing is 700 calories per hour |

| |35 minutes / 60 minutes per hour |

|3. If a person cross-country skis for 35 minutes, how many |35/60 * 700 |

|calories will be burned? |= 408 1/3 calories |

|Activity 15: Question 4 (pg. 420) |It takes 3500 cal to lose a pound. |

| |Jumping roper is 750 per hour |

|4. How many hours would a person have to jump rope in order to |Divide: |

|lose 1 pound? (Assume calorie consumption is just enough to |3500 / 750 |

|maintain weight, with no activity.) |= 4 2/3 hours |

|Activity 15: Question 5 (pg. 420) |Set up a proportion: |

| |120/150 = x/410 |

|5. At what rate would a120-pound person burn calories while |Multiply by 410 on each side: |

|bicycling at 12 miles per hour? |X = 120*410/150 |

| |X = 328 cal per hour |

|Activity 15: Question 6 (pg. 420) |Set up a proportion: |

| |180/150 = x/410 |

|6. At what rate would a180-pound person burn calories while |Multiply by 410 on each side: |

|bicycling at 12 miles per hour? |X = 180*410/150 |

| |X = 492 cal per hour |

|Activity 15: Question 7 (pg. 420) |5 pounds * 3500 calories = 17500 calories |

| |Get the rate: |

|7. How many hours of jogging at 5½ miles per hour would be |200/150 = x/740 |

|needed for a 200-pound person to lose 5 pounds? (Again, assume |X = 200*740/150 |

|calorie consumption is just enough to maintain weight, with no |X = 986.66666 cal per hour |

|activity.) |Divide: |

| |17500/986.66666 |

| |= 17.736 hours (2625/148 hours) |

Finished? I encourage you to go back and check each answer. Did you show all your work? Did you label every answer?

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