2024 STAAR Category 3: Writing and Solving Linear Functions, Equ

A swimming pool can be rented for $110 per hour. The pool can be rented for either 1 hour or 2 hours. The cost in dollars to rend the pool is a function of the number of hours the pool is rented.

What are the domain and range of the function for this situation?

• Domain: {110,220}

  Range: {1, 2}

• Domain: {1, 2}

  Range: {110, 220}

• Domain: all real numbers

  Range: all real numbers

• Domain: all integers greater than or equal to zero

  Range: all integers greater than or equal to zero

Tags

A.2(A)

The graph of a linear function is shown.

Which function best represents the relationship shown in the graph?

Tags

A.2(C)

• -3
• 18
• -18
• -2
• 2
• 3

Tags

A.2(D)

• -9

• -3

• -1

• -6

Tags

A.5(A)

Hot dogs and a bag of popcorn were sold at a concession stand. One family paid $8.00 for 2 hot dogs and 3 bags of popcorn. Another family paid $16.50 for 5 hot dogs and 4 bags of popcorn.

Which system of equations can be used to determine the price in dollars of a hot dog, x, and the price in dollars of a bag of popcorn, y?

• 5x + 4y = 8

  2x + 3y = 16.5

• 2x + 3y = 8

  5x + 4y = 16.5

• 2x + 5y = 8

  3x + 3y = 16.5

• 3x + 2y = 8

  4x + 5y = 16.5

Tags

A.2(I)

Two customers purchased coffee and doughnuts at a coffee shop. Each cup of coffee costs the same amount, and each doughnut costs the same amount.

The first customer paid $4.90 for 1 cup of coffee and 2 doughnuts.

The second customer paid $8.60 for 2 cups of coffee and 3 doughnuts.

What is the cost of 1 cup of coffee?

• $2.50

• $1.20

• $4.90

• $3.70

Tags

A.5(C)

Tags

A.2(E)

An athlete ran at a constant speed for 12 seconds. The part of the linear function shown represents the distance the athlete ran in yards, y, as a function of the time in seconds, x.

What is the domain of the function for this situation?

Tags

A.2(A)

The total cost, y, for x tickets to a concert includes a flat fee for processing and cost per ticket. One customer purchased 4 tickets for a total cost of $160. Another customer purchased 8 tickets for a total cost of $300.

Which linear equation represents the total cost in dollars, y, for x tickets?

• y = 40x

• y = 37.5x

• y = 35x + 20

• y = 20x + 35

Tags

A.2(C)

Tags

A.5(A)