MAT-115 Week 5 CheckPoint Assignment -- Due Day 5 (Friday) Page 2

Problems (2 point each) / TYPE YOUR SOLUTION(S) HERE /
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 <Individual> 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)
Write the following ratio in simplest form.
8. The ratio of to / Convert to improper fractions:
28/5 to 21/10
Multiply by 10:
56 to 21
Divide by 7:
8 to 3 /
Section 5.1 #24 (pg. 381)
Write the following ratio in simplest form.
24. The ratio of 7 dimes to 3 quarters / 7 dimes = 0.7
3 quarters = 0.75
0.7 to 0.75
Multiply by 100:
70 to 75
Divide by 5:
14 to 15 /
Section 5.1 #34 (pg. 383)
34. Marc took 3 hours to mow a lawn while Angelina took 150 minutes to mow the same lawn a week earlier. Write the ratio of Marc’s time to Angelina’s time as a ratio of whole numbers. / 3 hours = 180 minutes
180 to 150
Divide by 10:
18 to 15
Divide by 3:
6 to 5 /
Section 5.2 #14 (pg. 390)
Find the rate.
14. / 240 divided by 6
= 40 pounds per lawn /
Section 5.2 #30 (pg. 392)
30. Which is the better buy: 5 pounds of sugar for $4.75 or 20 pounds of sugar for $19.92? / 4.75/5 = 0.95
19.92/20 = 0.996
The 5 pounds is a better buy. /
Section 5.3 #10 (pg. 400)
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. / 8/15 = 24/45 /
Section 5.3 #28 (pg. 401)
Determine whether each pair of fractions is proportional.
28. / Cross multiply:
5*120 = 600
8*75 = 600
They are the same, so YES. /
Section 5.3 #48 (pg. 402)
Determine if the given rates are equivalent.
48. / Cross multiply:
12*1240 = 14880
9*8329 = 74961
No, they are different. /
Section 5.5 #16 (pg. 415)
16. A store has T-shirts on sale at 2 for $5.50. At this rate, what do five T-shirts cost? / Price of 1:
5.5/2 = 2.75
Multiply by 5:
5*2.75 = $13.75 /
Activity 15: Question 1 (pg. 420)
1. If a person jogs at a rate of 5½ miles per hour for 3½ hours in a week, how many calories do they burn? / Calorie information:
Important fact is that a person needs to burn off 3,500 calories more than he or she takes in to lose 1 pound. The following table is shows the number of calories burned per hour based on a 150 pound person.
Bicycleing 6 mi/h 240running 10 mi/h 1,280 Bicycle 12mi/h 410
Cross-ctry skiing 700Jogging 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)
2. If a person runs in place for 15 minutes, how many calories will be burned? / 15 minutes is ¼ of an hour
Multiply that by 650 calories
¼ * 650
= 162.5 calories (162 ½) /
Activity 15: Question 3 (pg. 420)
3. If a person cross-country skis for 35 minutes, how many calories will be burned? / Skiing is 700 calories per hour
35 minutes / 60 minutes per hour
35/60 * 700
= 408 1/3 calories /
Activity 15: Question 4 (pg. 420)
4. How many hours would a person have to jump rope in order to lose 1 pound? (Assume calorie consumption is just enough to maintain weight, with no activity.) / It takes 3500 cal to lose a pound.
Jumping roper is 750 per hour
Divide:
3500 / 750
= 4 2/3 hours /
Activity 15: Question 5 (pg. 420)
5. At what rate would a120-pound person burn calories while bicycling at 12 miles per hour? / Set up a proportion:
120/150 = x/410
Multiply by 410 on each side:
X = 120*410/150
X = 328 cal per hour /
Activity 15: Question 6 (pg. 420)
6. At what rate would a180-pound person burn calories while bicycling at 12 miles per hour? / Set up a proportion:
180/150 = x/410
Multiply by 410 on each side:
X = 180*410/150
X = 492 cal per hour /
Activity 15: Question 7 (pg. 420)
7. How many hours of jogging at 5½ miles per hour would be needed for a 200-pound person to lose 5 pounds? (Again, assume calorie consumption is just enough to maintain weight, with no activity.) / 5 pounds * 3500 calories = 17500 calories
Get the rate:
200/150 = x/740
X = 200*740/150
X = 986.66666 cal per hour
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?