S24 Alg1 Benchmark - Part 1 AMAZING RACE

The table shows the number of bacteria cells in a particular colony over time, t, in days. Which function, f(t), best models the number of bacteria cells over time, t, where 0 ≤ t ≤ 3?

• f(t) = 3(27)^t

• f(t) = 3t + 27

• f(t) = 27(3)^t

• f(t) = 27t + 3

Tags

CCSS.HSF.LE.A.2

The graph represents the amount of snowfall, s, in inches, over time, t, in hours, on a single day.

Which units are most appropriate for the rate of change in the graph?

• days/inch

• inches/day

• inches/hour

• hours/inch

Tags

CCSS.HSF.IF.B.4

A baseball player learns to hit baseballs after being thrown such that the baseballs go beyond the boundaries of the baseball field, resulting in a home run. Which is least likely to affect the baseball player's ability to hit a home run?

• the force of the baseball bat hitting the ball

• the number of seats in the baseball stadium

• the speed of the baseball after being thrown

• the speed of the baseball after being hit

Consider the graph.

Which function is best represented by the graph?

• x - 4y = -4

• x - 4y = 4

• x + 4y = -4

• x + 4y = 4

The equation 6x + 2y = 76 represents the total amount of money a family spends at a grocery store when buying x packages of hot dogs and y packages of hot dog buns. Which represents the equation when solved for y?

• y = −3x + 38

• y = −1/3x + 38

• y = 1/3x + 38

• y = 3x + 38

Tags

CCSS.6.EE.C.9

A roofer deconstructs the shingle roof of a house by removing the shingles. The table shows the number of shingles left to be removed x hours after beginning deconstruction. What is the average rate of change in the number of shingles from hour 1 to hour 3?

• 180 shingles per hour

• 90 shingles per hour

• −90 shingles per hour

• −180 shingles per hour

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Consider the exponential function graphed on the coordinate plane. Based on the graph, which inequality represents the most appropriate domain of the exponential function?

• x ≤ −2

• x ≥ −2

• x ≤ 4

• x ≥ 4

Tags

CCSS.HSF-IF.C.7E

A homeowner collects and analyzes data to estimate the total cost, y, in dollars, for x hours of electrical work completed by a licensed electrician.

The linear model y = 21x + 145 can be used to represent the data when x ≥ 0.

Which two best describe the value 145?

• change in total cost per hour of electrical work

• slope

• total cost for electrical work when x = 0

• x-intercept

• y-intercept

Tags

CCSS.HSF.LE.B.5

The table displays the length, in inches, of an elastic cord, which stretches as a weight of x ounces is added to the end of the cord, which can be represented by the function f(x) = 1/5 x + 35, when x ≥ 0. How many inches does the elastic cord stretch with each ounce of weight that is added?

• 0.2 inch

• 0.5 inch

• 1 inch

• 5 inches

Tags

CCSS.HSF.LE.B.5

Consider the equation. |7x − 30| = −9 What is (are) the solution(s) to the equation?

• There are no solutions to the equation.

• x = −3 and x = 3

• x = −3 only

• x = 3 only