Graphing Tables in Linear Functions

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

All the statements below indicate that the relationship displayed in the table is proportional EXCEPT _____ .

• A constant of 12 can be multiplied by x to get y.

• The values of the ratios in the table, y to x, are equivalent.

• If graphed on the coordinate plane, the values in the table fall on a line that passes through the origin.

• The table of values shows that 12 is added each time.

Tags

CCSS.7.RP.A.2D

Which statement about the data in the graph is correct?

• The distance of the trip is a function of the cost.

• The cost of the trip is a function of the number of miles.

• This graph shows no relationship.

Answer explanation

Divide y/x for all of the values. If you get the same answer the table is proportional

Tags

CCSS.HSF.IF.B.4

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.LE.B.5

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

Tags

CCSS.7.RP.A.2D

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.

Given the table of values: x | y -2 | -4 0 | 1 2 | 6 What is the slope of the linear function?

• 5/2

• 7/2

• 4/3

• -3/2

Tags

CCSS.8.EE.B.5

Given the equation y = -3x + 2, what is the slope of the linear function?

• -3

• 0

• 2

• 1

Tags

CCSS.8.EE.B.5

Given the equation y = -2x + 1, what is the slope of the linear function?

• 1

• -2

• 0

• 2

Tags

CCSS.8.EE.B.5