Modeling Real-World Situations with Equations

You rent a limousine for a flat rate of $180 and an additional $70 per hour of use. Which equation models this situation?

• C = 180 + 70h
• C = 70 + 180h
• C = 180h - 70

• C = 180 - 70h

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

• h(t) = 8 - t
• h(t) = 8 + 0.5t
• h(t) = 8 - 0.5t
• h(t) = 0.5t

Tags

CCSS.HSF-BF.A.1A

The temperature is currently 74 degrees. The temperature is projected to fall at a rate of 8 degrees per hour. Which equation models this situation?

• T(t) = 74 + 8t
• T(t) = 74 - 4t
• T(t) = 74 - 8t
• T(t) = 8t + 74

Tags

CCSS.HSF-BF.A.1A

The population of South Bend is 4,855 and is decreasing by 91 people each year. Which equation models this situation?

• P(t) = 5000 - 91t
• P(t) = 4855 - 45.5t
• P(t) = 4855 + 91t
• P(t) = 4855 - 91t

Tags

CCSS.HSF-BF.A.1A

In 2006 the population of Houston, Texas was 175,000. The population grows at a rate of 4,350 people per year. Which linear equation models this situation?

• P(t) = 175000 + 4350t
• P(t) = 175000 + 5450t

• P(t) = -175000 + 4350t

• P(t) = 175000 - 4350t

Tags

CCSS.HSF-BF.A.1A

Couples are waiting until later to get married. In the year 2000, the median age at marriage for men was 32. In the year 2018, the median age at marriage for men was 40. Assuming a linear relationship, what is the predicted marrying age of a man in the year 2025?

• 41

• 35
• 45
• 43

The cost of 8 dance lesson is $216. The cost of 13 dance lessons is $326. Based on a linear relationship, what is the cost of 20 dance lessons?

• $600.00
• $520.80
• $480.00

• $450.50

Tags

CCSS.HSF-LE.A.1B

The ordered pairs shown below model the linear relationship between the temperature, x, at certain mountain elevations in feet, y.

(80, 4700), (72, 7100), (61, 10400) and (58, 11300)

If the temperature is 43 degrees, which is the elevation of the mountain?

• 16,300 feet

• 15,800 feet

• 17,400 feet

• 14,600 feet

Tags

CCSS.HSF.IF.A.2

A construction company charges a one time fee of $175 and an additional fee of $65 for each ton of debris that is taken to the landfill. What will be the total cost if 200 tons of debris are taken to the landfill? (assume this is modeled by a linear relationship)

• $10000
• $13175
• $15000
• $12000

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

10,840 people resided in Mrs. Daywalt's hometown in the year 2004. In 2017, there were 34,240 people lived in Mrs. Daywalt's hometown. Assuming a linear relationship, how many people lived in Mrs. Daywalt's hometown in 2024?

• 58,160

• 52,120

• 40,360

• 54,040

Tags

CCSS.HSF-LE.A.1B