405: Linear Functions Day 3 Lesson

405: Linear Functions Day 3 Lesson

• I can calculate the slope of a linear function using a graph or two points.

• I can find the average rate of change of a function over a given interval algebraically

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

Find the slope:

• 2
• -2
• 1/2
• -1/2

Multiple Choice

^{What is the x- intercept of the line?}

• (-2, 2)

• (-1, 0)

• (0, -2)

• (1, 4)

Multiple Choice

What is the x-intercept of this line?

• (-2, 4)

• (0, 2)

• (2, 0)

• (4, -3)

Multiple Choice

^{What is the y- intercept of the line?}

• (-2, 2)

• (-1, 0)

• (0, -2)

• (1, 4)

Multiple Choice

What is the y-intercept of this line?

• (-2, 4)

• (0, 2)

• (2, 0)

• (4, -3)

Real Life Linear Equations

• y - intercept (0,32)

• These means that the starting fee for renting the car is $32

The rate of change of this graph

down 1 gallon per 25 miles

 $-\frac{1gal}{25\ miles}$ 

notice the scale on the x-axis

Drew's Scuba Tank

• The y-intercept (0,40)

• starting amount of air in the tank

• The rate of change is

   $-\frac{20\ cubic\ ft}{3\ \min}$  

Multiple Choice

What is the situation of the linear graph?

• The beaker is being filled.

• The beaker is being emptied.

• The beaker is remaining the same amount

Money Earned Selling Programs

• Ken got a job selling programs.

• He starting payment is $15

• y-intercept (0,15)

• He earns $0.50 per program sold

• slope (rate of change) $0.50 per program

Multiple Choice

What is the meaning of the slope in the context of the problem?

• Sharon's babysitting income increases by $20 per hour.
• Sharon's babysitting income decreases by $4 per hour.
• Sharon's babysitting income increases by $4 per hour.
• Sharon's babysitting income increases by $5 per hour.

Multiple Choice

What is the meaning of the y-intercept of this graph?

• when the gas take is empty

• starting amount of gas

• rate at which the gas take empties

• the starting mileage

Multiple Choice

What is the meaning of the slope?

• The cost for the service without any hours of calling is $5
• The cost of the service without any hours of calling is $6
• The cost per minute is $0.05
• The cost per minute is $0.50

Multiple Choice

What is the meaning of the y-intercept?

• The cost for the service without any hours of calling is $5
• The cost of the service without any hours of calling is $6
• The cost per minute is $0.05
• The cost per minute is $0.50

Multiple Choice

What is the meaning of the slope? 

• Colby's initial deposit was $100. 
• Colby's initial deposit was $150
• Colby is adding $5 per week
• Colby is adding $10 per week

Multiple Choice

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

Multiple Choice

What is the meaning of the slope?

• You will receive $4 per paper delivered.
• You will receive $5 per paper delivered
• You will receive $20 per paper delivered
• You will receive $20 for the day