Performance Task: Construct and Analyze Piecewise Functions — Cumulative exam

Question 1

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

Revolt · Accepted Answer

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400. The second column is labeled money collected (y) with entries 0, 50, 255, 2000.

Question 2

The potential energy, P, in a spring is represented using the formula P = kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.

Revolt · Accepted Answer

k =

Question 3

Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?

Revolt · Accepted Answer

1.5

Question 4

Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours. Returning to her original location, she paddles downstream (with the current) the same distance in 1 hour. The equations represent x, the paddling speed, and y, the speed of the current.2(x – y) = a b(x + y) = 8Which are true? Select two options.a = 8b = 8a = 1b = 1a = b

Revolt · Accepted Answer

a = 8; b = 1

Question 5

The inverse of the function f(x) = is shown. h(x) = 2x-What is the missing value?

Revolt · Accepted Answer

20

Question 6

The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

Revolt · Accepted Answer

0.7(t + 4 + 2) = t

Question 7

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.

Revolt · Accepted Answer

The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Question 8

Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information.Which equation can Jeremy use to determine the amount of raisins in the trail mix?

Revolt · Accepted Answer

1.5r + 2.5(5 – r) = 10.50

Question 9

Using a stopwatch, Tyrone determines it takes him 58.2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?1 mile = 5,280 feet

Revolt · Accepted Answer

45.36 feet per second

Question 10

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

Revolt · Accepted Answer

negative

Performance Task: Construct and Analyze Piecewise Functions — Cumulative exam Answers

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