Real World Systems of Linear Equations

Which equation matches Uber?

• t=8.50m+1.75

• t=8.50+1.75m

• t=1.75+8.50m

• t=9.75m

A plumber charges $25 for a service call. He then charges $100 per hour.  Write a linear equation to model this situation if x represents the number of hours the plumber works

• y = 100x

• y = 25x

• y = 100+25x

• y = 25+100x

A plumber charges $80 for a service call. He then charges $160 per hour.  Write a linear equation to model this situation if x represents the number of hours the plumber works

• y=80x+160

• y =160-80x

• y = 160+80x

• y=80+160x

A plumber charges $120 for a service call. He also charges $70 per hour for labor.

How many hours did the plumber work if the total bill was $540.00?

A pizza delivery service use the equation:

t=5+10p to calculate their total cost

They charge a delivery fee and a price per pizza

What does the 5 represent?

• Price per pizza

• Total cost including delivery fee and pizza cost

• Delivery Fee

A pizza delivery service use the equation:

t=5+10p to calculate their total cost

They charge a delivery fee and a price per pizza

What does the t represent?

• Price per pizza

• Total cost including delivery fee and pizza cost

• Delivery Fee

The height of a burning candle can be modelled by the equation:

h= -2t+12

What does the 12 represent?

• The starting height of the candle

• The amount the candle burns per second

• The total height of the candle

The height of a burning candle can be modelled by the equation:

h= -2t+12

What does the -2 represent?

• The starting height of the candle

• The amount the candle burns per second

• The total height of the candle

An apartment complex charges $1200 per month and a one-time Security Deposit of $800

m=months

Which equation could model this situation?

• 1200+800m

• 1200m+800

• 1200-800m

• 800-1200m

An apartment complex charges a one-time Security Deposit of $950 and $1500 per month

m=months

Which equation could model this situation?

• 950+1500m

• 950m+1500

• 950-1500m

• 950m-1500