Modeling With Linear Association

A taxi cab charges a fixed amount of $1.50 plus $.75 cents per mile traveled. Write an equation to model charge for distance traveled.

If Jasmine has $20 dollars with her, what is the maximum number of miles m she can ride in the cab.

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Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

• y = 3x + 2.5

• y = 2.50x + 3

• y = 2.50x 

• y = 3x + 2.50

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

• y=15x-25

• 15x+25y=100

• 25x+y=15

• y=15x+25

Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.

• y = 48x + 5

• y = -5 + 48x

• y = -5x - 48

• y = 48 - 5x

Which equation represents the total cost of a repair by an electrician after x hours? An electrician charges $90 per hour plus a $50 travelling fee.

• y = 50 - 90x

• y = 90x + 50

• y = -50x + 90

• y = -90 - 50x

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  Write a linear equation that could be used to find how many songs he downloaded.

• y = 0.95x + 7.95

• y = 7.95x + 0.95

• y = 0.95x - 7.95

• y = - 0.95x + 7.95

Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?

• y = 150 + 40

• y = 40x + 150

• y = 150x + 40

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 30 + 12.5x 

• y = 12.5 + 30

• y = 12.5 + 30x

Based on the table, determine the rate of change for the situation.

• There are 10 candles burning for 10 hours.

• The candle starts at 10 inches tall and after 10 hours it is burned out.

• For every hour that goes by, the candle loses an inch in height.

• The candle burns an inch every hour.

Determine the rate of change for the graph above.

• 100/25

• 2/1

• 20/0

• 40/10