Interpreting Parameters

The equation y = 3x + 8 models the amount of snow in inches(y) after x hours.

Interpret the y-intercept

• 8 inches of snow falls in 3 hours.

• 3 inches of snow falls in 8 hours.

• When we started measuring, there were already 8 inches of snow on the ground.

• Every hour, 3 new inches of snow accumulates.

The equation y = 3x + 8 models the amount of snow in inches(y) after x hours.

Interpret the slope,

• 8 inches of snow falls in 3 hours.

• 3 inches of snow falls in 8 hours.

• When we started measuring, there were already 8 inches of snow on the ground.

• Every hour, 3 new inches of snow accumulates.

Janice is saving money for retirement. The equation y = 500x + 12,000 models her retirement savings where y is the total she has saved in dollars, and x is the number of months.

Interpret the y-intercept.

• Janice started with $500 in her account

• Janice started with $12,000 in her account

• Each month, Janice saves an additional $500

• Each month, Janice saves an additional $12,000

Janice is saving money for retirement. The equation y = 500x + 12,000 models her retirement savings where y is the total she has saved in dollars, and x is the number of months.

Interpret the slope.

• Janice saves $12,000 every 500 months

• Janice saves $500 every 12,000 months

• Each month, Janice saves an additional $500

• Each month, Janice saves an additional $12,000

James has to sell restaurant discount cards as part of a fund raiser for soccer. The equation y = -10x + 500 models his selling where y is the total number of cards and x is the number of days.

Interpret the slope.

• James is selling 500 cards over 10 days

• James earns $500 for every 10 cards he sells

• James is selling 10 cards each day

• James starts with 500 cards to sell.

James has to sell restaurant discount cards as part of a fund raiser for soccer. The equation y = -10x + 500 models his selling where y is the total number of cards and x is the number of days.

Interpret the y-intercept.

• James is selling 500 cards over 10 days

• James earns $500 for every 10 cards he sells

• James is selling 10 cards each day

• James starts with 500 cards to sell.

Chris collects shoes. The equation y =3x + 122 models the number of pairs of Jordans(y) he has in his collection after x months.

Interpret the slope.

• Chris collects an additional 3 pair of Jordans each month

• Chris collects 122 pairs of Jordans every 122 months

• In 3 months, Chris will have 122 more pairs of Jordans.

• Chris sells 3 pairs of Jordans for $122 each.

Chris collects shoes. The equation y =3x + 122 models the number of pairs of Jordans(y) he has in his collection after x months.

Interpret the y-intercept.

• Chris starts with 122 pairs of Jordans in his collection.

• Chris starts with 3 pairs of Jordans in his collection.

• The 3 pairs of Jordans Chris has cost him $122.

• Chris buys 3 pairs of Jordans for $122 each.

PlumbRight Plumbing uses the equation y = 50x + 75 to model the charge in dollars for a service call (y) for x hours of service.

Interpret the y-intercept.

• PlumbRight charges $50 per service call just to come to your house.

• PlumbRight charges $75 per service call just to come to your house.

• PlumbRight charges $50 for 70 minutes of work.

• PlumbRight charges $75 for 50 minutes of work.

PlumbRight Plumbing uses the equation y = 50x + 75 to model the charge in dollars for a service call (y) for x hours of service.

Interpret the slope.

• PlumbRight charges $50 per hour on top of the service fee.

• PlumbRight charges $75 per hour on top of the service fee.

• PlumbRight charges $50 for 70 minutes of work.

• PlumbRight charges $75 for 50 minutes of work.