Linear Relationships Word Problems

Bob has $150 in his savings account and saves $40 per month.

• y = 150 + 40
• y = 40x + 150
• y = 150x + 40

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.

• y = 8.5 + 25.5
• y = 8.5x + 25.5
• y = 8.5 + 25.5x
• y = 8.5x + 25.5x

A plant is 5cm tall and growing at a rate of 3cm a month.

• y = 5 + 3
• y = 5x + 3
• y = 3x + 5
• y = 3x + 5x

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15
• C =15 (0.20x)
• C = 15 + x + 0.20
• C = 0.20 + 15x

An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the rate of change?

• $100
• $35
• $135
• $65

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

y = 2.75x + 4.25

What does y represent?

• The total cost of the fixed fee plus charge per mile

• The charge per mile

• Miles

• The fixed fee

• Karma

Talk time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for its phone service.  How many minutes were used if the monthly bill was $188?

• 188
• 1500
• 2777
• 7000

Billy's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. How many hours of labor did the mechanic work on the car if her total bill was $260?

• 3 hours
• 12 hours
• 2.5 hours
• 5 hours

The drama club sold tickets to a play for $5 each.  They also made $55 in soda and popcorn sales.  If the drama club made a total of $290, how many tickets were sold?

• 47
• 58
• 69
• 113

Laura is 3 years older than twice Joseph's age.  If Laura is 27 years old, how old is Joseph?

• 12
• 15
• 24
• 30