Solving Real-Life Linear Equations: Word Problems & Graphs

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a system of linear equations in slope-intercept form to represent the total cost of renting a car for x miles. How much would it cost to drive 150 miles?

• $60

• $120

• $90

• $30

A local gym charges a monthly membership fee of $40 and an additional $5 per fitness class attended. Write the equation for the total cost in slope-intercept form. If a member attends 10 classes in a month, what is their total cost?

• $100

• $90

• $70

• $80

A phone company offers two plans: Plan A costs $50 per month with unlimited data, while Plan B costs $30 per month plus $10 per GB of data used. Write a system of equations to find out when both plans cost the same. How much data would you need to use for the costs to be equal?

• 3 GB

• 1 GB

• 5 GB

• 2 GB

A school is selling tickets for a play. Adult tickets are $12 each, and student tickets are $8 each. If the school wants to raise $600, write a system of equations in slope-intercept form to represent the number of adult and student tickets sold. How many of each type of ticket must be sold to meet the goal?

• 30 adult tickets and 15 student tickets

• 10 adult tickets and 50 student tickets

• To meet the goal, the school must sell 25 adult tickets and 30 student tickets.

• 20 adult tickets and 40 student tickets

A delivery service charges a base fee of $15 plus $2 per mile. Write the equation for the total cost in slope-intercept form. If a customer wants to pay $35, how many miles can they afford to have their package delivered?

• 5

• 10

• 15

• 20

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer spends $30, write a system of equations in slope-intercept form to represent the number of cupcakes and cookies bought. How many of each could they have purchased?

• The customer could have purchased 0 cupcakes and 15 cookies, or 10 cupcakes and 0 cookies.

• 5 cupcakes and 10 cookies

• 12 cupcakes and 3 cookies

• 8 cupcakes and 4 cookies

A landscaping company charges a flat rate of $100 for a service plus $25 per hour of work. Write the equation for the total cost in slope-intercept form. If a customer pays $200, how many hours of work were performed?

• 4

• 2

• 8

• 6

A concert venue sells tickets for $50 for VIP seating and $30 for general admission. If they sell a total of 200 tickets and make $8000, write a system of equations in slope-intercept form. How many VIP and general admission tickets were sold?

• VIP tickets sold: 150, General admission tickets sold: 50

• VIP tickets sold: 100, General admission tickets sold: 100

• VIP tickets sold: 80, General admission tickets sold: 120

• VIP tickets sold: 120, General admission tickets sold: 80

A subscription box service charges $20 per month plus $5 for each additional item. Write the equation for the total cost in slope-intercept form. If a customer spends $50, how many additional items did they order?

• 10

• 8

• 4

• 6

A farmer sells apples for $1.50 per pound and oranges for $2.00 per pound. If he sells a total of 100 pounds of fruit for $180, write a system of equations in slope-intercept form. How many pounds of apples and oranges did he sell?

• 30 pounds of apples and 70 pounds of oranges

• 50 pounds of apples and 50 pounds of oranges

• 40 pounds of apples and 60 pounds of oranges

• 20 pounds of apples and 80 pounds of oranges