Modeling with Rates and Constants

Which of these equations represent the table above if the number of tickets represents x and the total cost represents y?

• y=2x

• y=54x

• y=27x

• y=x

Tags

CCSS.6.EE.C.9

The table show's your profit from your summer mowing job. What is the rate of change?

• $10 per hour

• $20 per hour

• $5 per hour

• $12 per hour

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the relationship in this table between the number of tickets(x) to the total cost(y)?

• Multiply by 2

• Multiply by 54

• Multiply by 27

• Multiply by 1

Tags

CCSS.5.OA.B.3

Does this table show a proportional relationship?

• Yes 

• No

Tags

CCSS.7.RP.A.2D

Determine the rate of change. What is the cost for a dozen pounds?

• $12

• $20

• $24

• $30

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A cup is filled with 100 ml of water. Every second, 2 ml of water are poured out of the cup.  Which function shows the amount of water in the cup after t seconds?

• w(t) = 100 + 2t

• w(t) = 100 - 2t

Tags

CCSS.HSF-BF.A.1A

The cost, c, of potato salad by its weight in pounds, p, at a deli is given in the table above.  Which equation best models this data.

• c = .29p

• c = 3.5p

• p = .29c

• p = 3.5c

Tags

CCSS.6.EE.C.9

The initial weight of a container is 6.2 pounds. As water is added to the container, the weight increases at a rate of 0.6 pounds per minute. Which function models the weight of the container as a function of time?

• f(t)=0.6t+6.2

• f(t)=t+6.8

• f(t)=6.2-0.6t

•                                           f(t)=6.2t+0.6

Tags

CCSS.HSF-BF.A.1A

A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?

• Table F

• Table G

• Table H

• Table J

Tags

CCSS.HSF-LE.A.1B

Which graph best represents the constant rate of change of 2? (7.4A)

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Tags

CCSS.HSF-LE.A.1B