NC Math 2 Unit 6 Square Root and Inverse Variation Functions · NC Math 2 Unit 6 Square Root and...
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NC Math 2 Unit 6 Square Root and Inverse Variation Functions Why is Jasmine’s answer different? Is Jasmine’s answer correct or are Kevin and Francisco’s answers correct? Explain your reasoning. Apply the methods that Jasmine, Kevin, and Francisco used to solve the following problems. Identify any extraneous solutions and justify why they are extraneous. 1. .5x .5 0 +1 =√ 2x +3 2. √ x +7= x +5 Developed by CHCCS and WCPSS Page 61 45C 12 5 1 1.515 1.5 2 3 7 710 1 25 25 2.75 75 2.25 x 7 x 7.25 21 1.5 72.25 2 13 x2t9x 118 2x 3 2 3 xt3Kxt6 F stiff f 3 I
Transcript of NC Math 2 Unit 6 Square Root and Inverse Variation Functions · NC Math 2 Unit 6 Square Root and...
NC Math 2 Unit 6 Square Root and Inverse Variation Functions
Why is Jasmine’s answer different? Is Jasmine’s answer correct or are Kevin and Francisco’s answers correct? Explain your reasoning.
Apply the methods that Jasmine, Kevin, and Francisco used to solve the following problems. Identify any extraneous solutions and justify why they are extraneous.
1. .5x .50 + 1 = √2x + 3 2. √x + 7 = x + 5
Developed by CHCCS and WCPSS
Page 61
45C 125 11.515 1.5 2 3 7 710 125252.75 75 2.25 x 7 x
7.25211.5 72.25 2 13 x2t9x1182x 3 2 3 xt3Kxt6
F
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NC Math 2 Unit 6 Square Root and Inverse Variation Functions
3. √3x + 1 = x + 1 4. x3 − 2 = √2x − 5
Developed by CHCCS and WCPSS
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NC Math 2 Unit 6 Square Root and Inverse Variation Functions
6.9 Seasonal Systems
A Develop Understanding Task
Family Kingdom Amusement Park is planning to hire more support staff to work during the summer months. They have budgeted $12,000 per week to go towards the pay for these seasonal workers.
1. If Family Kingdom Amusement Park hired 60people, how much would each person make per week? Justify your answer.
2. Create an equation, table, and graph that models the relationship between the number ofpeople that Family Amusement Park can hire and the weekly pay per person.
From previous years the owners at Family Kingdom Amusement Park have realized that the more money they advertise for pay per week, the more applicants they will receive. Two years ago the owners advertised this seasonal part-time work as having a weekly salary of $205 and they received 40 job applications. Last year they advertised a weekly salary of $220 and they received 50 job applications.
Developed by CHCCS and WCPSS
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NC Math 2 Unit 6 Square Root and Inverse Variation Functions
3. Create an equation, table and graph to model the relationship between the weekly salaryadvertised and the number of job applications the owners will receive.
4. How much should the owners at Family Kingdom Amusement Park advertise as the weeklypay if they want for the number of job applications to be the same as the number of peoplethey can hire? If the owners choose to advertise at this amount of pay per week, how manyapplications will they receive? Justify your answer.
Developed by CHCCS and WCPSS
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NC Math 2 Unit 6 Square Root and Inverse Variation Functions
5. The owners at Family Kingdom Amusement Park want to have more applicants than peoplethat they can actually hire, so that they can choose the best workers from the pool ofapplicants. Write an inequality that can be solved to find the weekly salary that the ownersshould advertise to make sure that they receive more applications than people that theycan hire. Then, use tables and graphs to solve the inequality so that the owners know howmuch they can advertise to ensure that they receive more applicants than people they canactually hire.
6. Make a recommendation to the owners about how much they should advertise as theweekly salary. Explain why your recommendation is the owner’s best option. Make surethat you let them know how many job applications they should expect, how many peoplethey can hire, and the total cost per week for salaries of all seasonal workers.
Developed by CHCCS and WCPSS
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NC Math 2 Unit 6 Square Root and Inverse Variation Functions
7. You just solved a system of equations that involved a linear equation and an inversevariation equation, both graphically and using tables. How would you solve the followingsystem?
y = √x
x − y = 6
Developed by CHCCS and WCPSS
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