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Interpreting Linear Equations
Vocabulary Terms
Writing
Solving
100

You rent a bicycle for h hours. 

The cost of renting the bicycle is given by the equation C = 2h + 20. 

The y-intercept tells us.......................?

The initial fee for renting the bike

100

In a linear model, the..............................represents the rate of change.

the slope

or

the gradient

100

Car rental R costs $100 plus $28 per day, d.  Write a linear model to represent this situation.

 R = 28d + 100

100
Renting a car costs $100 plus $28 per day. The linear model for this situation relates the total cost of renting a car, y, with the number of days rented, x. How much would it cost to rent a car for 6 days?
$268
200

The height H of a 30 cm candle, that burns for h hours is given by the equation H = -2h + 30. 

The gradient -2 tells us the......................?

Number of centimetres burned per hour

200

In a linear model, the ................   ................. is given by the y-intercept 

initial value

200

You put an initial deposit of $25 into a bank account. You add $50 per year y. Write a linear model to represent the amount in the bank A

A = 50y + 25

200

You put an initial deposit of $25 into a bank account. You add $50 per year. If you started the account in 2009, how much do you have in the account after 6 years?

$325

300

Samantha is a member of a gym. She pays a monthly fee and a fee for eachvisit. Her monthly cost C when she visits the gym v times is represented by the equation y = 5v + 40. 

Her monthly fee is.......................?.

$40

300

A linear model has equation C=2t+50.

What is the y-intercept?

b=50

300

Boat rental R costs a $200 hiring fee plus $56 per day, d.  Write a linear model to represent this situation.

R = 56d + 200

300
Renting a boat costs $200 plus $56 per day. The linear model for this situation relates the total cost of renting a boat, y, with the number of days rented, x. How much would it cost to rent the boat for 2 weeks?
$984
400

Samantha is a member of a gym. She pays a monthly fee and a fee for each visit. Her monthly cost C when she visits the gym v times is represented by the equation y = 5v + 40. 

The ordered pair (2, 50) tells us...

The fee for 2 visits

400

A linear model has equation A=36 - 5h

What is the gradient?

m= -5

400

The temperature T is 15 degrees and it is going to drop 2 degrees per hour, h during the night. Write a linear model to describe this situation.

T = -2h +15

400
The temperature is 15 degrees and it is going to drop 2 degrees per hour during the night. What is the temperature after 4 hours?
7 degrees
500

The height H of a 30 cm candle, that burns for h hours is given by the equation H = -2h + 30.

The ordered pair (5, 20) tells us.......

The height after 5 hours

500

A tank has 200 litres of water and is leaking at a rate of 2 litres per minute m. Write an equation for the volume of water V


V = 200 - 2m

500

A tank has 200 litres of water and is leaking at a rate of 2 litres per minute m. How much water is left after 10 minutes?

180 L