Inverse Proportions and Rate of Change Quiz

What is an inverse proportion?

• A relationship where one value increases as the other increases

• A relationship where one value decreases as the other increases

• A relationship where both values increase

• A relationship where both values decrease

Tags

CCSS.HSF-LE.A.1B

Calculate f(2.3) for the function f(x) = x² - 3.

• 2.29

• 2.19

• 2.39

• 2.49

Tags

CCSS.HSF.IF.A.2

What is the formula for calculating the rate of change?

• (f(x2) - f(x1)) / (x2 - x1)

• (x2 - x1) / (f(x2) - f(x1))

• (f(x1) + f(x2)) / (x1 + x2)

• (x1 + x2) / (f(x1) + f(x2))

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which of the following is an example of direct proportion?

• Car depreciation

• Hair growth

• Half-life

• Pizza at a fall festival

Tags

CCSS.7.RP.A.2A

What is the second step in solving inverse proportions as shown in the image?

• Solve for y

• Write the equation

• Solve for x

• Find k

Tags

CCSS.6.EE.B.7

What is the formula used to calculate the rate of change between two points?

• \frac{y_2 - y_1}{x_2 - x_1}

• \frac{x_2 - x_1}{y_2 - y_1}

• y_2 - y_1

• x_2 - x_1

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the rate of change from x = 2 to x = 5 for the function f(x) = \frac{4}{x^2}?

• -0.29

• 0.29

• -0.5

• 0.5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the value of $ t(w) $ when $ w = 15 $ using the formula $ t(w) = \frac{500}{w} $?

• 33.33

• 50

• 25

• 100

Tags

CCSS.HSF.IF.A.2