6.2.2 Real World Linear Systems

Multiple Choice

Lucy is renting a bike while visiting a city. She pays $9 per hour to ride around the city. She also pays an additional charge of $3 for a helmet.

Which equation represents the total price, y, for renting the bike for x hours?

• x = 9y+3

• y = 9x+3

• y = 3x+9

• y =9x-3

Dropdown

The first babysitter charges a fee of $5 per hour with an additional fee of $20.

Match the description with each value to write a linear equation for the scenario. Not all choices will be used.

x variable​

Select answer

y-intercept​

Select answer

Linear equation​

Select answer

slope​

Select answer

Multiple Choice

A second babysitter charges $7 per hour to babysit with an additional initial charge of $10. Which equation represents the total price, y, for this babysitter for x hours?

• x = 7y+10

• y =7x+10

• y=7x-10

• y=10x+7

Multiple Select

Alexa and Ronnie are both fundraising by selling magazines.

•Alexa has $6 in her bank account and makes $5 every magazine she sells.

•Ronnie has $10 in his bank account and makes $4 every magazine he sells.

•

Which two equations represent how many magazines they will sell?

Select all that apply.

• y=4x+10

• y=6x+5

• y=5x+6

• y=10x+4

Hotspot

Aria is planning a road trip and comparing the cost of different companies.

•Car Rental A charges an initial fee of $30 plus $9 per day.

•Car Rental B charges an initial fee of $25 plus $ 10 per day.

•

Which system of equations represents Aria’s scenario?