Unit Test — Cumulative exam Answers

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

An international calling plan charges 45 cents per minute or fraction of a minute for each call. Which graph models the cost, y, in cents of making x minutes of international calls?

An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use a calculator and round your answer to the nearest whole number.

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

One brand of vinegar has a pH of 4.5. Another brand has a pH of 5.0. The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. What is the approximate difference in the concentration of hydrogen ions between the two brands of vinegar?

The equation of the piecewise function f(x) is below. What is the value of f(–2)?

Which activities are ways to reduce the negative impacts humans have on Earth’s resources? Select two options.eroding river banksmoving to urban settingsmonitoring air qualityburning fossil fuelsbuilding marine refuges

Which statements describe the impact of the use of fertilizers? Select two options.

The best action humans can take to decrease the effect of harmful growth and reproduction of algae is to

Sand dunes protect beaches against erosion and flooding due to storms.Which human activity would have the most negative impact on dune grasses and the coast?

Based on the passage, which resources and organisms are affected by oil spills? Select three options.

A carbon footprint is a measure of the amount of carbon human activities, like using energy, release into the atmosphere. Refer to the chart illustrating common household activities and their corresponding energy usage.Based on this data, which is the most impactful approach to reducing the highest carbon-emitting household activity?

Gina’s community is considering whether it should ban the use of plastic bags. Help her analyze the costs and benefits of using plastic and paper bags by completing the paragraph. Based on the data presented, bags have less impact on Earth’s resources. Even though bags have less impact on organisms in the oceans, the production of bags uses more of Earth’s materials and releases more carbon into the atmosphere.

Which statements describe the benefits of artificial reefs? Select three options.

If , what is the value of x?

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Which of the following accurately lists all discontinuities of the function below?

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A customer deposits $500 in an account that pays 4% annual interest. What is the balance after 3 years if the interest is compounded annually?Compound interest formula: t = years since initial depositn = number of times compounded per yearr = annual interest rate (as a decimal)P = initial (principal) investmentV(t) = value of investment after t years