Unit Test — Cumulative exam Answers

Complete each sentence using the drop-down menus. Desertification mainly impacts resources. Point and nonpoint sources refer to types of pollution. The process of people moving to cities, called , greatly impacts land, air, and water resources. The burning of fossil fuels can cause .

air✔ waterland

deforestation ✔ urbanizationdesertification

✔ smog and acid rainsmog and runoff acid rain and runoff

A farmer sells almonds according to the chart below. The more pounds of almonds that are sold, the lower the cost per pound is for the entire order of almonds.Almond PricesNumber of PoundsCost (per Pound)up to 10$20 more than 10, and up to 20$15 more than 20, and up to 30$10 more than 30$5 The farmer graphs a step function to model the situation, where y represents the cost per pound for an order of x pounds of almonds. Which of the following describes the farmer’s graph for the step that includes 20.75 pounds, and what is the total cost of 20.75 pounds of almonds?

Fuaad solved an absolute value inequality and expressed the solution as . What is another way to show Fuaad’s solution?

If you are given the graph of , how could you graph ?

A manager needs to order company shirts for each employee. She was quoted the following rates. If she orders 75 shirts and passes the cost along to the employees, what would each employee owe for the shirt if each pays the same amount? Round to the nearest cent. Price Quote for Company Work ShirtsNumber of shirts orderedCost per shirtFirst 19 shirts$10Next 30 shirts$8Each shirt over 49$5

The table below shows the different times it takes Paula to drive to her grandmother’s house depending on the rate at which she drives.Rate vs. TimeRate (mph)30405060Time (h)2.51.8751.51.25If one day Paula rides a scooter to her grandmother’s house at a constant rate of 24 miles per hour, how long should it take her?

For what value of x does ?

Which of the following describes the graph of ?

A customer deposits $1,000 in an account in which the interest is compounded annually. The table below shows the balances in the account at the end of each year.Amount in Account vs. Number of YearsAmount in Account, ANumber of Years After Initial Deposit, t1,00001,08011,166.4021,259.7131,360.494Which equation best represents the data in the table?

Ashley is a member of the Movie-a-Month Club, where she rents movies each month. She uses the table below to keep track of the number of movies she rents each month and the total cost, which includes her monthly membership fee.Number of Movies vs. Total CostNumber of Movies1215922Total Cost$35.00$42.50$27.50$60.00Ashley graphed the relationship in the table. What is the slope of the graph, and what does it represent?

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

Which graph shows the solution to the inequality ?

Which statement is true about ?

Which of the following shows the graph of y = –(2)x – 1?

What are the domain and range of ?

What is the range of the function graphed below?

Which statement best compares the graphs of and ?