Module 3 Writing Linear Functions Quiz

Module 3: Writing Linear Functions

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1. The graph below represents a water tank being drained over time.

Which equation best represents this relationship?

𝑦 = 6𝑥 + 7

𝑦 = −6𝑥 + 7

𝑦 = −7𝑥 + 6

𝑦 = 7𝑥 − 6

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2. The table shows the relationship between the number of hours a student works and the amount of money earned.

Which equation represents the situation in slope-intercept form?

𝑦 = 24𝑥 − 6

𝑦 = 12𝑥 + 18

𝑦 = 6𝑥 + 12

𝑦 = 12𝑥 + 6

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3. A handyman charges a $15 service fee to come to your house and $12.50 per hour for work.

Which of the equations best represents the relationship of the cost of service, y, and the number of hours the handyman works, x.

𝑦 = 15𝑥 + 12.50

𝑦 = 15𝑥 + 27.50

𝑦 = 12.50𝑥 + 15

𝑦 = 12.50𝑥 + 27.50

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4. A student is tracking the cost of printing flyers. The relationship between the number of flyers printed and the total cost is shown in the table.

Which equation represents this situation in point-slope form?

𝑦 − 2 = 3(𝑥 − 11)

𝑦 − 11 = 3(𝑥 − 2)

𝑦 − 11 = 9(𝑥 − 2)

𝑦 − 20 = 3(𝑥 − 5)

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5. A ride-share driver tracks her earnings. After driving 2 hours, she has earned $41.

After 5 hours, she has earned $77. Assume her earnings increase at a constant rate.

Which equation models her earnings, y, after x hours, written in point-slope form?

𝑦 − 41 = 12(𝑥 − 2)

𝑦 − 2 = 12(𝑥 − 41)

𝑦 − 41 = 36(𝑥 − 2)

𝑦 − 77 = 12(𝑥 − 5)

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