Quiz 5-5-23 Friday Grade 8 M6 L1,2,3, "Linear Functions"

A rental car company offers a rental package for a midsize car. The cost comprises a fixed $25 administrative fee for the cleaning and maintenance of the car plus a rental cost of $10 per day. Using 𝒙 for the number of days and 𝒚 for the total cost in dollars, construct a function to model the relationship between the number of days and the total cost of renting a midsize car.

• $7

• $25

• $32

• $18

• $7

• $25

• $32

• $18

In 2008, a collector of sports memorabilia purchased 𝟓 specific baseball cards as an investment. Let 𝒚 represent each card’s resale value (in dollars) and 𝒙 represent the number of years since purchase. Each card’s resale value after 𝟎, 𝟏, 𝟐, 𝟑, and 𝟒 years could be modeled by linear equations as follows:

Card A: 𝒚=𝟓 +𝟎.𝟕𝒙

Card B: 𝒚=𝟒-2.6𝒙

Card C: 𝒚=𝟏0-𝟎.𝟗𝒙

Card D: 𝒚=𝟏0+𝟏.𝟏𝒙

Card E: 𝒚=𝟖-𝟎.𝟐5𝒙

Which card(s) are decreasing in value each year? How can you tell?

• A,D

  m > 0

• B,C,E

  m > 0

• A,D

  m < 0

• B,C,E

  m<0

In 2008, a collector of sports memorabilia purchased 𝟓 specific baseball cards as an investment. Let 𝒚 represent each card’s resale value (in dollars) and 𝒙 represent the number of years since purchase. Each card’s resale value after 𝟎, 𝟏, 𝟐, 𝟑, and 𝟒 years could be modeled by linear equations as follows:

Card A: 𝒚=𝟓 +𝟎.𝟕𝒙

Card B: 𝒚=𝟒-2.6𝒙

Card C: 𝒚=𝟏0-𝟎.𝟗𝒙

Card D: 𝒚=𝟏0+𝟏.𝟏𝒙

Card E: 𝒚=𝟖-𝟎.𝟐5𝒙

Which card(s) had the greatest initial value at purchase (at 𝟎 years)?

• Cards A, B

• Cards B, C

• Cards C, D

• Cards D, E

In 2008, a collector of sports memorabilia purchased 𝟓 specific baseball cards as an investment. Let 𝒚 represent each card’s resale value (in dollars) and 𝒙 represent the number of years since purchase. Each card’s resale value after 𝟎, 𝟏, 𝟐, 𝟑, and 𝟒 years could be modeled by linear equations as follows:

Card A: 𝒚=𝟓 +𝟎.𝟕𝒙

Card B: 𝒚=𝟒-2.6𝒙

Card C: 𝒚=𝟏0-𝟎.𝟗𝒙

Card D: 𝒚=𝟏0+𝟏.𝟏𝒙

Card E: 𝒚=𝟖-𝟎.𝟐5𝒙

Which card(s) is increasing in value the fastest from year to year?

• Card A

• Card B

• Card C

• Card D

In 2008, a collector of sports memorabilia purchased 𝟓 specific baseball cards as an investment. Let 𝒚 represent each card’s resale value (in dollars) and 𝒙 represent the number of years since purchase. Each card’s resale value after 𝟎, 𝟏, 𝟐, 𝟑, and 𝟒 years could be modeled by linear equations as follows:

Card A: 𝒚=𝟓 +𝟎.𝟕𝒙

Card B: 𝒚=𝟒-2.6𝒙

Card C: 𝒚=𝟏0-𝟎.𝟗𝒙

Card D: 𝒚=𝟏0+𝟏.𝟏𝒙

Card E: 𝒚=𝟖-𝟎.𝟐5𝒙

If you were to graph the equations of the resale values of Card A and Card D, which card’s graph line would be steeper? Explain.

• Card A

  slope is greater

• Card D

  slope is greater

• Card A

  slope is smaller

• Card D

  slope is smaller

A car starts a journey with 25 gallons of fuel. Assuming a constant rate, the car consumes 𝟎.09 gallon for every mile driven. Let 𝑨 represent the amount of gas in the tank (in gallons) and 𝒎 represent the number of miles driven. How much gas is in the tank if 𝟎 miles have been driven?

• 0.09 gallons

• 25 gallons

• 0 gallons

• 20 gallons

A car starts a journey with 25 gallons of fuel. Assuming a constant rate, the car consumes 𝟎.09 gallon for every mile driven. Let 𝑨 represent the amount of gas in the tank (in gallons) and 𝒎 represent the number of miles driven. What is the rate of change that relates the amount of gas in the tank to the number of miles driven?

• +0.09

• +25

• -0.09

• -25

A car starts a journey with 25 gallons of fuel. Assuming a constant rate, the car consumes 𝟎.09 gallon for every mile driven. Let 𝑨 represent the amount of gas in the tank (in gallons) and 𝒎 represent the number of miles driven. Write the linear function that models the relationship between the number of miles driven and the amount of gas in the tank