Interpreting Slope and Initial Value

What is the meaning of the y-intercept? 

• The cost will increase by $12 per hour

• The initial fee is $15 before hourly charges

• The cost will increase by $15 per hour

• The initial fee before hourly charges is $12

What is the meaning of the y-intercept?

• Colby's initial deposit was $100. 

• Colby's initial deposit was $150

• Colby is adding $5 per week

• Colby is adding $10 per week

What is the meaning of the y-intercept?

• The weight in the bucket increases by 1 pound per pound of sand.

• Before sand is put in the bucket, it weighs 1 pound.

• The starting weight of the sand is 1 pound.

• The weight in the bucket decreases by 1 pound per pound of sand.

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

• The daily fee for the moving truck

• The per-mile fee for the moving truck

• How much Charlie paid for the truck

• The number of miles he drove

The value, v, of an antique car after t years is represented by the equation below.

v = 2,000t + $12,000

What does the slope in the equation represent?

• The car decreases in value $2,000 per year.

• The car increases in value $2,000 per year.

• The car's original value is $2,000.

• The car increases in value $1 per 2,000 years.

The on-call nurse works x hours and charges her patients y dollars for her in-home services based on the equation y = 50x + 25. What is the slope in the equation?

• 25 dollars per hour

• 25 hours per dollar

• 50 dollars per hour

• 50 hours per dollar

The graph shows the candle's height (cm) as it burns (minutes).  Interpret the meaning of the slope.

• The candle was initially 9 cm tall.

• The candle burns 4.5 cm every 9 minutes.

• The candle burns 2 cm every minute.

• The candle burns 1 cm every 2 minutes.

Jackson started with $800 in his savings account, but has to pay $30 a month for his electricity bill. Write an equation that relates his savings, y, to the amount of months, x.

• y = -30x + 800

• y = 30x - 800

• y = 800x - 30

• y = 12x - 30

At 10:00 pm, there was already 8.6 inches on the ground. If it is to snow 2 inches per hour after, what equation could be used to model the situation after x amount of hours.

• y = 2x + 8.6

• y = 2x - 8.6

• y = -2x + 8.6

• y = 1/2x + 8.6

Stephanie owes her mom $80 for a recent trip to the mall. She plans to payback $15 a month until it is paid back. Write an equation in slope-intercept form that relates the amount she owes, y, to the amount of months, x.

• y = 15x - 80

• y = 15x + 80

• y = 80x - 15

• y = -80x - 15