Unit 5 Test Corrections

Identify the linear function that correctly fits the situation:

A bucket that holds 30 ounces of water has a hole that is causing it to lose 3 ounces of water every hour. How many ounces will be left after"x" hours?

• f(x) = -10x -3

• g(x) = 3x +10

• h(x) = -3x + 30

• k(x) = 3x - 30

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Cade is beginning to plant an orchard of apple trees. The number of apple trees he will plant each week during the spring is represented by the table above. If the pattern continues, how many apple trees will he plant during the 7th week of spring?

• 729

• 243

• 6,561

• 2,187

Tags

CCSS.4.OA.C.5

For a science project, Jennifer observed a bacteria culture which started with 3,000 bacteria. Every 10 minutes, the number of bacteria in the culture doubled. What type of function appropriately models this situation?

• Linear

• Exponential growth

• Quadratic

• Exponential decay

The graph represents the value, in dollars, of a sports car t years from the date of purchase. Construct the function which represents the data displayed in the graph.

• V(t) = 80,000(0.75)^t

• V(t) = 80,000(0.25)^t

• V(t) = 60,000(0.75)^t

• V(t) = (0.75)^t + 80,000

Tags

CCSS.HSF.LE.A.2

• f(x) = 2x + 4

• f(x) = -2x + 2

• f(x) = -2x - 16

• f(x) = 2x - 2

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Lane is studying the growth patterns of a particular type of tree native to North Carolina. He has noticed that, for each week that passes during the spring, the number of leaves on the tree approximately triples. If after the first week of his study, the tree had 18 leaves on it, approximately how many leaves should be on the tree after 8 weeks?

• 39, 366

• 118,089

• 124,659

• 373,977

• A(t) = 8,400(0.5)^t

• A(t) = (0.5)^t + 8,400

• A(t) = 8,400(2)^t

• A(t) = 4,200(0.5)^t

Tags

CCSS.HSF.LE.A.2

About how many grams of the isotope will remain after 30 days?

• 1.53

• 2.59

• 3.05

• 0.01

Express the terms of the following geometric sequence by giving an explicit formula.

3, -6, 12, -24, 48, ....

• t_n = -2(3)ⁿ, where n = 1,2,3,...

• t_n = -2(3)^n-1, where n = 1,2,3,...

• t_n = 3(-2)ⁿ, where n = 1,2,3,...

• t_n = 3(-2)^n-1, where n = 1,2,3,...

Tags

CCSS.HSF.BF.A.2

The exponential function f(x) intersects the y-axis at the point (0, 3) and has a horizontal asymptote at y = 2.

If g(x) = 3^x + 2, which statement is true?

• The y-intercept of g(x) cannot be determined

• The y-intercept of f(x) is less than the y-intercept of g(x)

• The y-intercept of f(x) is greater than the y-intercept of g(x)

• The y-intercept of f(x) is equal to the y-intercept of g(x)

Tags

CCSS.HSF.LE.A.2