Writing Linear Equations from Context

Front

A tub has 40 gallons of water in it and starts draining at a rate of 6 gallons per minute. Write a formula for the amount of water left in the tub.

Back

y = -6x + 40

Front

Formula for total cost of hiring a mechanic with a $15 flat fee and $65 per hour charge.

Back

y = 65x + 15

Front

A candle is originally 12 inches tall and burns a constant rate of 2 inches per hour. Write a formula for the height of the candle remaining.

Back

y = -2x + 12

Front

Equation to model the amount of gasoline, G, remaining in Jill's 19-gallon tank after t hours, given her SUV uses about three gallons per hour.

Back

G=19 – 3t

Front

y=0.5x+10
What does the slope of the graph of this equation represent?

Back

The per-mile fee for the moving truck

Front

What does the y-intercept of the graph of the equation y=3x+10 represent?

Back

The monthly fee

Front

Bob's Plumbing charges $25 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

Back

y = 25x + 40

Front

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenario?

Back

y = 90x + 50

Front

Amelia has $100 in her savings account and plans on saving $20 per week. Write an equation to represent this situation.

Back

y = 20x + 100

Front

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

Back

y = 3x + 5