Linear Functions Warmup

What does the slope represent in this situation?

• The sloth runs 1 feet in 3 minutes

• The sloth runs 3 feet in 1 minute

• The sloth runs fast

• The sloth runs 6 feet in 1 minute

Tags

CCSS.HSF.IF.B.4

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

• y = 625x + 225

• y = 225x 

• y = 225x + 625

• y =  625

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week. Write an equation in slope-intercept form that models this situation.

• y = 2x + 6

• y = 6x + 2

• y = 2x - 6

• y = 6x - 2

HINT: WHAT TYPE OF SLOPE DO I HAVE? WHERE SHOULD IT CROSS ON THE Y-AXIS -AKA- Y-INTERCEPT?

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Which has a negative slope?

• only Function #1

• only Function #3

• both Functions #1 and #4

• both Functions #2 and #3

Tags

CCSS.HSF-LE.A.1B

What is the meaning of the y-intercept?

• The weight in the bucket increases by 1 pound per pound of sand.

• Before sand is put in the bucket, it weighs 1 pound.

• The starting weight of the sand is 1 pound.

• The weight in the bucket decreases by 1 pound per pound of sand.

Tags

CCSS.HSF.LE.B.5

What is the rate of change for the following graph?

• 80

• 20

• 40

• 160

Answer explanation

The rate of change is calculated as the change in y over the change in x. If the graph shows a rise of 40 units over a run of 1 unit, the rate of change is 40. Thus, the correct answer is 40.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Calculate the rate of change.

• 6

• 1/6

• -6

• -1/6

Answer explanation

The rate of change is calculated as the change in value over the change in time. If the change is 6 units over a time interval of 1, the rate of change is 6. Thus, the correct answer is 6.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Use the graph to calculate the rate of change.

• ^-1/₃

• -3

• 3

• ³/₂

Answer explanation

The rate of change is calculated as the change in y over the change in x. From the graph, if y decreases by 1 and x increases by 3, the rate of change is -1/3, which matches the correct answer.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the rate of change

• 4

• -4

• -1/4

• 1/4

Answer explanation

The rate of change is calculated as the change in y over the change in x. Given the context, the correct calculation yields -4, indicating a decrease. Thus, the correct answer is -4.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6