Slope Intercept in Real World

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A veterinarian student tracks the weight of a kitten, in ounces, from the age of 0 to 32 weeks. She graphs the data and determines the line of best fit is y hat = 4.03x + 3.27. What does the slope represent in this situation?

• For every week the kitten ages, we predict the kittens weight to increase by 4.03 ounces

• For every week the kitten ages, the kittens weight to increase by 4.03 ounces

• For every ounce the kitten weighs, we predict the kittens age to increase by 4.03 weeks

• The kitten gains 4.03 ounces a week

Find the slope of the line.

• m = 1/4

• m = -4

• m = 4

• m = - 1/4

The graph shows the number of birds observed at a feeder each week. An equation for the line of fit is:
Interpret the slope.

• There were 4 birds at the birdfeeder in the beginning.

• There were 50 birds at the birdfeeder in the beginning.

• The amount of birds at the bird feeder decreases by 50 birds every week.

• The amount of birds at the bird feeder decreases by 4 birds every week.

• There were roughly 6 members at the gym at the start.

• There were 19 members at the gym at the start.

• Gym membership increased by roughly 5.9 members every month.

• Gym membership increased by roughly 19 members every month.

• There were roughly 6 members at the gym at the start.

• There were 19 members at the gym at the start.

• Gym membership increased by roughly 5.9 members every month.

• Gym membership increased by roughly 19 members every month.

The graph shows the total inches of rain that had fallen after each hour. An equation for the line of fit is:
Interpret the slope.

• There was no rain in the beginning.

• There were 0.6 inches of rain in the beginning.

• The amount of rain fallen increased by 0.6 inches every hour.

• The amount of rain fallen increased by 0 inches every hour.

The graph shows the total inches of rain that had fallen after each hour. An equation for the line of fit is: y=0.6x Interpret the y-intercept.

• There was no rain in the beginning.

• There were 0.6 inches of rain in the beginning.

• The amount of rain fallen increased by 0.6 inches every hour.

• The amount of rain fallen increased by 0 inches every hour.

Paul the plumber charges $25 for a service call.  He then charges $100 an hour.  Write a linear equation to model this situation.

• y = 100x

• y = 25x

• y = 25x + 100

• y = 100x + 25

What is the rate of change for the following graph?

• 80

• 20

• 40

• 160