Final Review Alg

Which relation represents a function?

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• As 𝑥 increases, the value of 𝑓(𝑥) increases, eventually approaching 24

• As 𝑥 increases, the value of 𝑓(𝑥) increases, eventually approaching 0.

• As 𝑥 increases, the value of 𝑓(𝑥) decreases, eventually approaching 24

• As 𝑥 increases, the value of 𝑓(𝑥) decreases, eventually approaching 0

The linear model 𝒏 = 𝟐𝒙 + 𝟏𝟑 represents the average number of shots, 𝒏, the team makes during a game based on 𝒙 hours spent practicing during the week. What is the meaning of the slope in this linear model?

• For each hour spent practicing during the week, the team will make 2 shots during the game

• For each hour spent practicing during the week, the team will make 13 shots during the game.

• For each hour spent practicing during the week, the team will miss 2 shots during the game

• For each hour spent practicing during the week, the team will miss 13 shots during the game

The data on the scatter plot can be represented by the linear model 𝒚 = −𝟑𝒙 + 𝟏𝟖𝟖, where 𝒙 represents the number of minutes spent completing schoolwork, and 𝒚 represents the number of minutes spent playing video games. Which statement is true?

• For each additional minute spent completing schoolwork, the number of minutes spent playing video games decreases by 3 minutes

• For each additional minute spent completing schoolwork, the number of minutes spent playing video games increases by 3 minutes

• For each additional minute spent playing video games, the number of minutes spent completing schoolwork decreases by 3 minutes

• For each additional minute spent playing video games, the number of minutes spent completing schoolwork increases by 3 minutes

Which inequality best represents the domain for the function 𝒇(𝒙)?

• 3 ≤ 𝑓(𝑥) ≤ 7

• 3 ≤ 𝑥 ≤ 7

A college student takes a biology course and notices that there is a linear relationship between the number of hours spent studying, 𝒙, and the biology exam score, 𝒇(𝒙). The table shows the results. Which best represents the domain of the relationship?

• {1, 3, 5, 7}

• {1, 7}

• {78, 82, 86, 90}

• {78, 90}

A student has 𝟔, 𝟎𝟎𝟎 megabytes of space left on a digital memory card for a camera. Each photo takes up the same amount of space. After taking 𝟏𝟎 photos, the student has 𝟓, 𝟗𝟓𝟎 megabytes of space left on the memory card. If 𝟎 ≤ 𝒑 ≤ 𝟏, 𝟐𝟎𝟎, which function, 𝒇(𝒑), represents the amount of space left on the memory card after taking 𝒑 photos?

Which two statements are true?

• The graph represents the equation

  𝑥 − 2𝑦 = −2

• The graph represents the equation 𝑥 + 2𝑦 = 2

• The point (−2, 0) is on the line

• The point (0, −2) is on the line

• The point (1, 0) is on the line

Throughout a semester, a college student tracks the number of words in an essay, 𝒚, that can be written in 𝒙 minutes. The table shows the data collected by the college student. If a linear model is used for the data to estimate the number of words the student can write in a certain amount of time, approximately how many words could the student write in 𝟐𝟓𝟎 minutes?

• 2,143 words

• 2,260 words

• 2,382 words

• 2,498 words