Interpreting Slope and Y Intercept of Line of Best Fit

Which of the following is another meaning of y-intercept?

• location

• initial value

• total

• constant rate

Which of the following points is a y-intercept?
(-2,3) (4, -2) (0, 5) (-9,0)

• (-9,0)

• (-2,3)

• (4,-2)

• (0,5)

• Jasmine will sell 50 ice-cream cones when the temperature is 0°F.

• For every 2° increase, Jasmine will sell 1 additional ice-cream cone.

• For every 1° increase, Jasmine will sell 2 additional ice-cream cones.

• When the temperature is 50°F, Jasmine will sell fewer ice-cream cones than usual.

Noah has a lunch account at the cafeteria. Noah can estimate the amount of money left in his lunch account using the equation y = 48 – 5x, where x represents the number of days he eats lunch. What is the meaning of the slope in the equation?

• He has $48 in his lunch account.

• He spends $5 per day eating lunch at the cafeteria.

• He has $43 in his lunch account after eating one day.

• He spends $10 of his lunch account after eating two days.

The equation C = 5.5b + 88 represents the relationship between carbohydrates (b) and calories (C) of some foods. What is the meaning of the slope?

• The number of calories increases by 5.5 each time a carbohydrate is added.

• The number of calories increases by 88 each time a carbohydrate is added.

• The total number of calories is 93.5.

• Most foods start with 88 calories.

Madison collected data on airline flights. The equation for her set of data is M = 1,754 – 550h, where M represents the distance a plane is from its destination and h represents the time in hours. What is the meaning of the y-intercept?

• the distance the plane traveled per hour

• the distance the plane has traveled after 1 hour

• the length of time the plane takes to reach its destination

• the distance from the destination before the plane departs

An employee at an arcade determined he could use the equation y = 50 – 2x to predict the number of tokens a guest has, y, based on the number of minutes, x, the guest has been at the arcade. What is the meaning of the slope of the equation?

• Guests typically have 50 tokens when they first arrive.

• Guests typically have 50 tokens left when they leave.

• Guests typically earn 2 tokens per minute.

• Guests typically use 2 tokens per minute.

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

• slope=1.3; The theater's sales increase by $1,000 every 1.3 months.

• slope=1.3; The theater's sales increasing by about $1,300 every month.

• slope=27; The theater's sales increasing by about $27,000 every month.

• slope=27; The theater's sales increase by $1,000 every 27 months.

• The slope indicates an increase of $180 in selling price for each additional thousand miles driven.

• The slope represents a decrease of $180 in selling price for each additional thousand miles driven.

• The slope represents a decrease of $180 in selling price for every 17.72 miles driven.

• The slope shows that the selling price remains constant regardless of the mileage.