Analyze a Linear Function to Construct a Model

Claire is selling candles at a constant price to raise money for for her soccer team. The table shows her profit.

Using technology, write write a function that models the table of values.  Enter your answer without using spaces.

f(x) = _____________

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Emerson has $120. Each week, he saves an additional $15. Write a function, f(x) to model the total amount of money Emerson has after x weeks. f(x) = _________________

Mathematical Equivalence

ON

Tags

CCSS.HSF-BF.A.1A

A gym charges an initial fee plus a monthly charge. Use the table to find the rate of change per month.

• $75 per month

• $55 per month

• $45 per month

• $35 per month

Tags

CCSS.HSF-LE.A.1B

Write an equation in y = mx + b form for the cost, y, to belong to the gym for x months.

• y = 35x + 40

• y = 40x + 35

• y = 35 x + 70

• y = 75x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The total cost, y, for a member to see 5 movies, x, is $40 and the total cost to see 12 movies is $75. Assume the relationship is linear. Find the rate of change (slope).

• $8 per movie

• $5 per movie

• $6.25 per movie

• There is no constant rate of change.

Tags

CCSS.HSF-LE.A.1B

Write an equation in y = mx + b for the movie membership above.

• y = 15x + 5

• y = 5x + 15

• y = 5x + 40

• y = 12x + 75

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Find the initial value/distance. Hint: (0, y)

• 0 meters

• 2000 meters

• 2040 meters

• 2480 meters

Tags

CCSS.8.EE.B.5

What function best models the data in the table?

• linear

• exponential

• quadratic

A(n) _________________ function will ADD the same number each time.

• Linear

• Quadratic

• Exponential

• All of the above

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Given the table, determine the equation of the function. 

• y = 4x + 1

• y = 1x + 4

• y = -4x + 1

• y = -1x + 4

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2