final reality check- darn’d sock puppets\ninstructions: this reality check will test your knowledge of what…

final reality check- darn’d sock puppets\ninstructions: this reality check will test your knowledge of what we have covered throughout the semester. answer each question by showing all your work and/or using complete sentences. answer each question clearly and neatly as well as include any units. points will be deducted if it is hard to read. you may work together with classmates. this reality check is worth 200 points. check the schedule for when the reality check is due.\nabout this reality check: sondra is an entrepreneur from chicago that opened a sock - puppet business in 2004 called darn’d sock puppets. she started selling sock puppets locally and expanded to selling sock puppets online in 2011. she has people ordering sock puppets from all over the world.\n1) {section 1.3} sondra can get 60 pairs of socks for $45. how many sock puppets can she make with a bulk order? (3 pts)\n2) {section 4.7} use proportional ratios and your information from problem 1 to figure out her cost per sock. round your answer to the nearest penny. (3 pts)\n3) {section 4.7} write your answer from problem 2 as a ratio of price per one sock puppet. (3 pts)\n4) {section 5.2} sondra is looking at two different options for yarn. she could get option 1: 2887 yards of yarn for $33 or option 2: 1300 yards of yarn for $24. which would be a better deal for her to purchase (meaning, which one would she get more yards per dollar)? (3 pts)\n5) {section 7.3} each sock puppet needs between 2 and 5 yards of yarn. write an inequality that shows how much yarn each sock puppet needs. (3 pts)

final reality check- darn’d sock puppets\ninstructions: this reality check will test your knowledge of what we have covered throughout the semester. answer each question by showing all your work and/or using complete sentences. answer each question clearly and neatly as well as include any units. points will be deducted if it is hard to read. you may work together with classmates. this reality check is worth 200 points. check the schedule for when the reality check is due.\nabout this reality check: sondra is an entrepreneur from chicago that opened a sock - puppet business in 2004 called darn’d sock puppets. she started selling sock puppets locally and expanded to selling sock puppets online in 2011. she has people ordering sock puppets from all over the world.\n1) {section 1.3} sondra can get 60 pairs of socks for $45. how many sock puppets can she make with a bulk order? (3 pts)\n2) {section 4.7} use proportional ratios and your information from problem 1 to figure out her cost per sock. round your answer to the nearest penny. (3 pts)\n3) {section 4.7} write your answer from problem 2 as a ratio of price per one sock puppet. (3 pts)\n4) {section 5.2} sondra is looking at two different options for yarn. she could get option 1: 2887 yards of yarn for $33 or option 2: 1300 yards of yarn for $24. which would be a better deal for her to purchase (meaning, which one would she get more yards per dollar)? (3 pts)\n5) {section 7.3} each sock puppet needs between 2 and 5 yards of yarn. write an inequality that shows how much yarn each sock puppet needs. (3 pts)

Answer

Explanation:

Step1: Calculate number of sock - puppets

Since 1 pair of socks makes 1 sock - puppet and she has 60 pairs of socks, the number of sock - puppets is 60. 60

Step2: Calculate cost per sock

She spends $45 on 60 pairs of socks. Since 60 pairs means 120 socks, the cost per sock is $\frac{45}{120}= 0.375\approx0.38$ dollars. $0.38$

Step3: Write ratio for price per sock - puppet

Since 1 pair (2 socks) makes 1 sock - puppet and 2 socks cost $2\times0.38 = 0.76$ dollars, the ratio of price per one sock - puppet is $\frac{0.76}{1}$. $\frac{0.76}{1}$

Step4: Calculate yards per dollar for yarn options

For option 1: $\frac{2887}{33}\approx87.48$ yards per dollar. For option 2: $\frac{1300}{24}\approx54.17$ yards per dollar. Since $87.48>54.17$, option 1 is a better deal. Option 1

Step5: Write the inequality for yarn needed per sock - puppet

Let $y$ be the amount of yarn per sock - puppet. The inequality is $2\leq y\leq5$. $2\leq y\leq5$

Answer:

  1. 60
  2. $0.38$
  3. $\frac{0.76}{1}$
  4. Option 1
  5. $2\leq y\leq5$