Algebra Concepts and Data Analysis

Which of the following equations is quadratic?

• y = 4x^2 + 7x - 1

• y = 3(4^x - 5) + 1

• y = (x - 9)(x + 8)

• y = 2|x - 1| - 3

Fill in the blank: The per capita consumption of broccoli in 1985 was __ pounds.

• 2.9

• 3.5

• 3.6

• 4.2

Which of the following scenarios is an example of a linear function?

• A virus has invaded Leticia's favorite fishing lake. Currently there are an estimated 1800 trout in the lake, and the Fish and Game Department has determined that the rate of fish deaths will be 25% of the population per month if left untreated.

• A tomato plant is 10 inches tall, and grows at a rate of 2 inches per month.

• A wild rabbit population is growing like crazy. Currently there are an estimated 1800 rabbits, and the Wild Animal Department has determined that the rate of rabbit growth is tripling every month.

Fill in the blank: The equation of the parabola between the towers of a suspension bridge with a distance of 120 feet and a height of 40 feet is ______.

• y = ax^2 + bx + c

• y = 4x^2 - 40

• y = -0.1x^2 + 40

What is the exponential equation for the table with x values -2, -1, 0, 1, 2, 3 and corresponding y values 8, 50?

• y = 2^x

• y = 5^x

• y = 10^x

From the graph, you can see that at 6 minutes you are 1 mile away from home and at 15 minutes you are 1.75 miles from home. Calculate the average rate of change and describe what it represents in the context of this situation.

• 0.1 miles/minute

• 0.075 miles/minute

• 0.083 miles/minute

• 0.05 miles/minute

What was the average rate of change of the federal minimum wage from 2007 to 2009?

• $0.70 per year

• $0.50 per year

• $0.60 per year

• $0.80 per year

Using the piecewise function, f(x), find f(4).

• A) 10

• B) 12

• C) 14

• D) 16

What is the value of the piecewise function f(x) at x = -3?

• -10

• 8

• 0

• -1

Fill in the blank: The value of the piecewise function f(x) at x = 6 is ____. A) 17 B) 12 C) 9 D) 15.

• 17

• 12

• 9

• 15