Back to Exercise: Recognize constant rate situations

Exercises: Recognize Constant Rate Situations

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Grade 9·21 problems·~30 min·Common Core Math - HS Functions·standard·hsf-le-a-1b
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A

Warm-Up: Review What You Know

1.

Which statement correctly describes the slope of a linear function?

2.

A function has the values: f(0)=5f(0) = 5, f(1)=8f(1) = 8, f(2)=11f(2) = 11, f(3)=14f(3) = 14. Which conclusion is correct?

3.

A function has the rule f(x)=4x+7f(x) = 4x + 7. What is the rate of change (slope)?

B

Fluency Practice

1.

Which phrase signals a constant rate of change (linear situation)?

2.

A phone company charges $0.05 per text message. Which statement about this situation is correct?

3.

A 400-gallon water tank drains at 5 gallons per minute. Write the linear function V(t)V(t) for the volume (in gallons) remaining after tt minutes.

Enter your answer in the form V(t)=__t+__V(t) = \_\_t + \_\_ (e.g., write the slope first, then the y-intercept separated by a space, like "-5 400").

4.

Which of the following describes a constant RATE situation (not a constant percent rate)?

5.

A plumber charges a flat service fee of $80 plus $60 per hour. Write the linear function C(h)C(h) for total cost (in dollars) as a function of hours hh worked.

Enter your answer in the form "slope intercept" (e.g., "60 80" for C(h)=60h+80C(h) = 60h + 80).

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