Gr8 M6 L1

A rental car company offers a rental package for a midsize car. The cost comprises a fixed $30 administrative fee for the cleaning and maintenance of the car plus a rental cost of $35 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.

• 𝒚 = 35𝒙 + 30

• 𝒚 = 30𝒙 + 35

• 𝒚 = 35 + 30𝒙

• 𝒚 = 30 + 35𝒙

The same company is advertising a deal on compact car rentals. The linear function 𝒚 = 𝟑𝟎𝒙 + 𝟏𝟓 can be used to model the relationship between the number of days, 𝒙, and the total cost in dollars, 𝒚, of renting a compact car.

What is the fixed administrative fee?

• The administrative fee is $15

• The administrative fee is $30

• The administrative fee is 15/30

• The administrative fee is 30/15

The same company is advertising a deal on compact car rentals. The linear function 𝒚 = 𝟑𝟎𝒙 + 𝟏𝟓 can be used to model the relationship between the number of days, 𝒙, and the total cost in dollars, 𝒚, of renting a compact car.

What is the rental cost per day?

• It costs 30/15 per day to rent the compact car.

• It costs $15 per day to rent the compact car.

• It costs 15/30 per day to rent the compact car.

• It costs $𝟑𝟎 per day to rent the compact car.

Recall that Lenore was investigating two wireless access plans. Her friend in Europe says that he uses a plan in which he pays a monthly fee of 𝟑𝟎 euro plus 𝟎. 𝟎𝟐 euro per minute of use.

Let 𝒙 represent minutes of use and 𝒚 represent the total monthly cost in euro. Construct a linear function that determines the monthly cost based on minutes of use.

• 𝒚 = 𝟑𝟎 + 𝟎. 𝟎𝟐𝒙

• 𝒚 = 𝟑𝟎𝒙 + 𝟎. 𝟎𝟐

• 𝒚 = 𝟑𝟎 + 𝟎. 𝟎𝟐𝒙

• 𝒚 = 𝟎. 𝟎𝟐 + 𝟑𝟎𝒙

Use the function  $𝒚=𝟑𝟎+𝟎.𝟎𝟐x$   to calculate the cost under this plan for 𝟕𝟓𝟎 minutes of use. If this point were added to the graph, would it be above the line, below the line, or on the line? 

• (750, 45)

• (45, 750)

• (36,000, 750)

• (750, 36,000)

A shipping company charges a $𝟒. 𝟒𝟓 handling fee in addition to $𝟎. 𝟐𝟕 per pound to ship a package. a. Using 𝒙 for the weight in pounds and 𝒚 for the cost of shipping in dollars, write a linear function that determines the cost of shipping based on weight.

• $𝒚=𝟎.𝟐𝟕x\ +\ 𝟒.𝟒𝟓$

• $𝒚=𝟒.𝟒𝟓+𝟎.𝟐𝟕x$

• $𝒚=\ 𝟒.𝟒𝟓x\ +𝟎.𝟐7$

• $𝒚=\ 𝟎.𝟐7\ +\ 𝟒.𝟒𝟓x$

A shipping company charges a $𝟒. 𝟒𝟓 handling fee in addition to $𝟎. 𝟐𝟕 per pound to ship a package

Which line (solid, dotted, or dashed) on the following graph represents the shipping company’s pricing method?

• Solid

• Dotted

• Dashed

Kelly wants to add new music to her MP3 player. Another subscription site offers its downloading service using the following:

𝐓𝐨𝐭𝐚𝐥 𝐌𝐨𝐧𝐭𝐡𝐥𝐲 𝐂𝐨𝐬𝐭 = 𝟓. 𝟐𝟓 + 𝟎. 𝟑𝟎(𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐬𝐨𝐧𝐠𝐬)

Write a sentence (all words, no math symbols) that the company could use on its website to explain how it determines the price for MP3 downloads for the month.

• We charge a $𝟓. 𝟐𝟓 subscription fee plus 𝟑𝟎 cents per song downloaded.

• We charge a $0.30 subscription fee plus $5.25 per song downloaded.

• Neither sentence works

• Both sentences are acurate

Kelly wants to add new music to her MP3 player. Another subscription site offers its downloading service using the following: 𝐓𝐨𝐭𝐚𝐥 𝐌𝐨𝐧𝐭𝐡𝐥𝐲 𝐂𝐨𝐬𝐭 = 𝟓. 𝟐𝟓 + 𝟎. 𝟑𝟎(𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐬𝐨𝐧𝐠𝐬).

Let 𝒙 represent the number of songs downloaded and 𝒚 represent the total monthly cost in dollars. Construct a function to model the relationship between the number of songs downloaded and the total monthly cost.

• 𝒚 = 𝟓. 𝟐𝟓 + 𝟎. 𝟑𝟎𝒙

• 𝒚 = 𝟎. 𝟑𝟎 + 𝟓. 𝟐𝟓𝒙

• 𝒚 = 𝟓. 𝟐𝟓𝒙 + 𝟎. 𝟑𝟎

• 𝒚 = 𝟎. 𝟑𝟎𝒙 + 𝟓. 𝟐𝟓

Kelly wants to add new music to her MP3 player. Another subscription site offers its downloading service using the following: 𝐓𝐨𝐭𝐚𝐥 𝐌𝐨𝐧𝐭𝐡𝐥𝐲 𝐂𝐨𝐬𝐭 = 𝟓. 𝟐𝟓 + 𝟎. 𝟑𝟎(𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐬𝐨𝐧𝐠𝐬).

Determine the cost of downloading 𝟏𝟎 songs.

• The cost of downloading 𝟏𝟎 songs is $𝟖.𝟐𝟓.

• The cost of downloading 𝟏𝟎 songs is $15.83

• The cost of 𝟏𝟎 months is $𝟖.𝟐𝟓.

• The cost of 𝟏𝟎 months is $15.83