Domain and Range Applications

Fatima works as an intern at a construction company earning $10 per hour. Her office is open 8 hours per day, 5 days a week. Analyze Fatima’s potential earnings for the 12 weeks she interns at the company this summer. A.

Write a function rule to model the situation.

• f(x) = 10x

• f(x) = 8x

• f(x) = 5x

• f(x) = 12x

Tags

CCSS.HSF-BF.A.1A

Fatima works as an intern at a construction company earning $10 per hour. Her office is open 8 hours per day, 5 days a week. Analyze Fatima’s potential earnings for the 12 weeks she interns at the company this summer. B.

Identify the independent variable.

• The independent variable is the number of hours worked (x).

• The independent variable is the total amount earned (y).

• The independent variable is the number of weeks in the internship.

• The independent variable is the hourly wage.

Tags

CCSS.6.EE.C.9

Fatima works as an intern at a construction company earning $10 per hour. Her office is open 8 hours per day, 5 days a week. Analyze Fatima’s potential earnings for the 12 weeks she interns at the company this summer.

Identify the dependent variable.

• The dependent variable is the total earnings (f(x)).

• The dependent variable is the number of hours worked per week.

• The dependent variable is the hourly wage ($10 per hour).

• The dependent variable is the number of weeks in the internship.

Tags

CCSS.6.EE.C.9

Fatima works as an intern at a construction company earning $10 per hour. Her office is open 8 hours per day, 5 days a week. Analyze Fatima’s potential earnings for the 12 weeks she interns at the company this summer. Analyze Fatima’s potential earnings for the 12 weeks she interns at the company this summer.

Is the situation continuous or discrete? Why?

• The situation is discrete because Fatima can only work whole hours, not fractions of an hour.

• The situation is continuous because Fatima can earn any amount of money at any time.

• The situation is continuous because time is always measured continuously.

• The situation is continuous because Fatima can choose to work any fraction of an hour.

Tags

CCSS.HSF-LE.A.1B

Fatima works as an intern at a construction company earning $10 per hour. Her office is open 8 hours per day, 5 days a week. Analyze Fatima’s potential earnings for the 12 weeks she interns at the company this summer.

Are there any restrictions on the independent variable? If so, identify the minimum and maximum values.

• Yes, the minimum is 0 hours and the maximum is 480 hours (8 hours/day × 5 days/week × 12 weeks).

• No, there are no restrictions on the independent variable.

• Yes, the minimum is 8 hours and the maximum is 40 hours (8 hours/day × 5 days/week).

• Yes, the minimum is 0 hours and the maximum is 60 hours (12 weeks × 5 hours/week).

Tags

CCSS.8.EE.B.5

Fatima works as an intern at a construction company earning $10 per hour. Her office is open 8 hours per day, 5 days a week. Analyze Fatima’s potential earnings for the 12 weeks she interns at the company this summer. F. Are there any restrictions on the dependent variable? If so, identify the minimum and maximum values.

• Yes, the minimum is $10 and the maximum is $1,200 (120 hours × $10/hour).

• No, there are no restrictions on the dependent variable.

• Yes, the minimum is $0 and the maximum is $4,800 (480 hours × $10/hour).

• Yes, the minimum is $0 and the maximum is $3,200 (320 hours × $10/hour).

Fatima works as an intern at a construction company earning $10 per hour. Her office is open 8 hours per day, 5 days a week. Analyze Fatima’s potential earnings for the 12 weeks she interns at the company this summer. Analyze Fatima’s potential earnings for the 12 weeks she interns at the company this summer.

What are the domain and range of this situation?"

• Domain: 0 ≤ x ≤ 480 Range: 0 ≤ f(x) ≤ 4800

• Domain: 0 ≤ x ≤ 12 Range: 0 ≤ f(x) ≤ 1200

• Domain: 0 ≤ x ≤ 40 Range: 0 ≤ f(x) ≤ 4000

• Domain: 0 ≤ x ≤ 24 Range: 0 ≤ f(x) ≤ 2400

Amber works at a car wash during her summer break. She earns $9 per hour. If Amber is available to work up to 20 hours per week for 10 weeks, analyze her potential earnings, f(x), in relation to the number of hours worked, x.

Write a function rule to model the situation.

• f(x) = 9 + x

• f(x) = 20x

• f(x) = 10x

• f(x) = 9x

Tags

CCSS.HSF-BF.A.1A

Amber works at a car wash during her summer break. She earns $9 per hour. If Amber is available to work up to 20 hours per week for 10 weeks, analyze her potential earnings, f(x), in relation to the number of hours worked, x.

• 9x (number of hours worked)

• x (number of hours worked)

• 20x (number of hours worked)

• 10x (number of hours worked)

Tags

CCSS.HSF.LE.B.5

Amber works at a car wash during her summer break. She earns $9 per hour. If Amber is available to work up to 20 hours per week for 10 weeks, analyze her potential earnings, f(x), in relation to the number of hours worked, x.

• f(x) (potential earnings)

• x (number of weeks)

• 9x (number of hours worked)

• 20x (hourly wage)

Tags

CCSS.HSF.LE.B.5