Function Tables a Graphing

The data in the table represents a linear function. Which equation models the relationship?

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which statement about the linear function graphed on the right is true?

• The rate of change is $60 an hour.

• The number of hours is a function of the cost.

• When the input is 60, the output is 6.

• The cost depends on the number of hours the business is operated.

Tags

CCSS.HSF.IF.B.4

Each entry below could be in an input-output table for this function EXCEPT _____ .

• (8, 80)

• (3, 30)

• (40, 4)

• (5.5, 55)

Answer explanation

The cost for 8 hours is $80

Which statement about the data in the graph on the left is correct?

• The weight of the pecans depends on the cost.

• The cost of pecans is a function of the weight of the pecans.

• There is no relationship.

• Pecans cost $2 per pound.

Answer explanation

be careful to put the number mentioned first as the numerator of the fraction and the number mentioned second as the denominator

Tags

CCSS.HSF.IF.B.4

To write an equation you need two pieces of information- the slope (m--the change in y over the change in x) and the y-intercept (b--where the line crosses the y-axis). Write an equation for the following linear function graphed on the left. Hint: use y = mx + b

Answer explanation

The line goes down, so the slope is negative.

2 down and over 3.

The line crosses the y-axis at positive 5, so the y-intercept is + 5.

• 3

• 1/3

• 6

• -6

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

The relations shown on the left are all linear functions.

Which one(s) have graphs that are lines going up and to the right?

• ii and iv

• i and iii

• iii

• i, iii, and iv

The table shows the cost of long distance calls based on the length of the call. For this function, the input is the number of minutes and the output is the cost of the call.

Is there a constant rate of change? If so, what is it?

• Yes, 10 calls per minute

• Yes, $.10 per minute

• Yes, $.40 per minute

• Not a constant rate

Tags

CCSS.HSF-LE.A.1B

Data that are functions can be written as coordinate pairs. Each input (x) can only have one specific output (y), Which set of coordinates does not represent a function?

(Which set of points has more than one output for a specific input?

• (2, -3) (3, -3) (4, -3) (5, -3)

• (1, 2) (4, 3) (1, 4) (2, 5)

• (3, 4) (4, 4) (5, 6) (6, 6)

• (-2, 5), (3, 8), (7, 1), (-2, 5)

Tags

CCSS.8.F.A.1

Write this information on your note page, then answer the question!

Linear Functions can be written in the form y = mx + b.

They can have positive or negative slopes and positive or negative y-intercepts.

Variables in the equation cannot contain exponents. There cannot be a variable in the denominator of any fraction in the equation.

Which equation represents a linear function?

Tags

CCSS.8.F.A.3