8.SP.3

8.SP.3

The formula

• y=mx + b

• m is the rate of change - the slope

• x is the number that you substitue values into - its the multiplier

• b is the y-intercept - the initial value

Multiple Choice

What does the m in the equation y=mx + b represent?

• slope

• initial value

• multiplier

Multiple Select

What does the b in the equation y=mx + b represent? Select all that apply.

• slope

• y - intercept

• initial value

• multiplier

What to look for in the word problems?

• Look for initial value

• Look for the rate of change or slope

• Look for a muliplier

Example 1

The function y = -0.8x + 67.3 represents the estimated temperature of a cave in degrees Fahrenheit after x days. Which statements are correct about the linear model? Select all that apply

-the slope is -0.8

-the inital value is 67.3

Multiple Choice

The function y = -0.8x + 67.3 represents the estimated temperature of a cave in degrees Fahrenheit after x days. Which statements are correct about the linear model?

What is the initial value?

• 0.8

• -0.8

• 67.3

• x

Multiple Select

The function y = -0.8x + 67.3 represents the estimated temperature of a cave in degrees Fahrenheit after x days. Which statements are correct about the linear model? Select all that apply

• The initial temperature of the cave is -0.8F

• The initial temperature of the cave is 67.3F

• The cave's temperature increases about 0.8F each day

• The cave's temperature increases about 67.3F each day

• The cave's temperature decreases about 0.8F each day

Multiple Choice

A science class collected data measuring the amount of water in a bucket that was out in the Sun. The equation w= -1.5h + 18 represents how much water, w , was in the bucket after hours, h. According to this equation, how many hours did take for the bucket to be emptied?

• 6

• 10

• 12

• 18

Multiple Choice

Oscar recently began receiving allowance from his parents. His balance can be represented by the linear model y = 8.25x + 37.81, where x is the number of weeks Oscar has been getting his allowance, and y is his total money balance.

What is the value of his weekly allowance?

• 8.25

• 37.81

Multiple Choice

Oscar recently began receiving allowance from his parents. His balance can be represented by the linear model y = 8.25x + 37.81, where x is the number of weeks Oscar has been getting his allowance, and y is his total money balance.

How much money did Oscar have before he started getting an allowance?

• 8.25

• 37.81