Algebra 1 – Post-test Assessment 4

Use the information provided to answer Part A through Part D for question 1.

Consider the function f(x) shown in the xy-coordinate plane, as the parent function.

Part A

The graph of a transformation of the function f(x) is shown.

Which expression defines the transformation shown?

Part B

The graph of a transformation of the function f(x) is shown.

Which expression defines the transformation shown?

Part C

The graph of a transformation of the function f (x)  is shown.

Which expression defines the transformation shown?

Part D

The graph of a transformation of the function f (x) is shown.

Use the information provided to answer Part A through Part D for question 2.

The population of a city in 2005 was 36,000. By 2010, the city’s population had grown to 43,800 people.

Part A

Assuming that the population of the city has grown linearly since 2005 and continues to grow at the same rate, what will be the population in 2015?

Part B

Which expression is an appropriate exponential model for the population of the city? Let t represent the time, in years, since 2005.

Part C

Assuming that the population of the city has grown exponentially since 2005 and continues to grow at the same rate,

what will be the population in 2015? Give your answer to the nearest whole number.

Use the information provided to answer Part A and Part B for question 3.

Part A

If the function is graphed in a coordinate plane, which statement would be true?

Use the information provided to answer Part A and Part B for question 4.

Part B

What is a factored form of f (x)?

Use the information provided to answer Part A through Part D for question 5.

Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and y represent the number of hours Leah works at the ice cream shop.

Part A

Which graph shows the set of points that represents the number of hours that Leah can work in order to earn at least $120 and not work more than 20 hours per month?

Part B

Which pairs (x, y) represent hours that Leah could work to meet the given conditions?

Select all that apply.

Part C

If Leah babysits for 7 hours this month, what is the minimum number of hours she would have to work at the ice cream shop to earn at least $120? Give your answer to the nearest whole hour.

Part D

Leah prefers babysitting over working at the ice cream store. Out of 20 total hours, what is the maximum number of hours she can babysit to be able to earn at least $120 per month? Give your answer to the nearest whole hour.

Use the information provided to answer Part A and Part B for question 6.

The diagram shows two cylinders with bases that have the same center and heights of 12 millimeters.

Part A

Which is a function for the volume, V, that is inside the larger cylinder but outside the one with the smaller radius r?

Part B

Suppose that there is space between the inner and outer cylinders and the radius of the inner cylinder must be an integer greater than or equal to 3.

What is the domain of V?

Use the information provided to answer Part A and Part B for question 7.