D12 Unit 1 Writing and Interpreting Linear Functions

Isabella is going to an amusement park. The price of admission into the park is $20, and once she is inside the park, she will have to pay $2 for every ride she rides on. Write a function to represent how much money Isabella would have to pay for x rides.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

At the beginning of spring, Savannah planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 0.5 inches per week. Write a function to represent the height of the flower after w weeks.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Abigail had 12 inches of snow on her lawn. The snow then began to melt at a constant rate of 0.5 inches per hour. How much snow would Abigail have on her lawn after t hours of snow melting?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

A day care charges a $30 rate per day. Write a function that represents day care costs for x amount of days.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.2

Keshawn is considering three options for a video streaming service.

Match the correct function for each option.

Groups:

(a) Option 1

,

(b) Option 2

,

(c) Option 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

Elizabeth was given a gift card for a coffee shop. Each morning, Elizabeth uses the card to buy one cup of coffee. The amount money remaining on the card after buying x cups of coffee is given by the equation A=15−1.50x.

Identify the value of each and what they represent in the context of the problem.

Groups:

(a) Slope

,

(b) x-intercept

,

(c) y-intercept

• -1.50

• the original amount of money that was on the gift card

• the total number of cups of coffee that can be purchased from the card

• 10

• 15

• the amount each cup of coffee costs

Tags

CCSS.HSA.SSE.A.1

A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells x shirts can be found using the function f(x)=5x−50. Determine an appropriate domain for the function.

• whole numbers

  {0, 1, 2, 3,...}

• positive integers

  {1, 2, 3,...}

• All real numbers

• Real numbers

  0 < x < 50

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

• x is the set of all real numbers

• x is the set of all integers

• x is the set of all nonnegative integers

• x is the set of all nonnegative real numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

A manufacturer keeps track of her monthly costs by using a "cost function" that assigns a total cost for a given number of manufactured items, x. The function is C(x) = 5,000 + 1.3x.

What is the reasonable domain of the function?

• whole numbers

• real numbers

• integers

• rational numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

A company uses the function V(x) = 28,000 – 1,750x to represent the amount left to pay on a truck, where V(x) is the amount left to pay on the truck, in dollars, and x is the number of months after its purchase . What is the x intercept and what does it represent?

• 16; the truck is fully paid off after 16 months of payment

• 16; $16 is the amount paid per month

• 28,000; the purchase price of the truck is $28,000

• 28,000; the monthly payment is $28,000

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1