Question

find the slope, given the tables below: *remember

8.

x	y
1	13
2	18
3	23
4	28
5	33

9.

x	y
5	7
8	6
11	5
14	4
17	3

rate of change: (1,5) rate of change: (3, - 1) rate of change: (1,
function (y/n)? y linear function (y/n)? n linear function (y/n)?

roger is typing a 1200 - word essay he had written by hand. roger averages 75 words per minute and has already typed 150 words the day before.

what is the constant rate of change?

what is the initial value?

a person has a cell phone plan that charges $0.09 per minute plus a monthly fee of $23.00.

what is the constant rate of change?

what is the initial value?

what do we know about the following linear equation? y=-4x + 5

state three ordered pairs:

find the slope:

what do we know about the following linear equation? y = 1+5x

state three ordered pairs:

find the slope:

increasing or de

Explanation:

Step1: For Roger's typing problem

The rate - of - change is the number of words typed per minute. He types 75 words per minute. The initial value is the number of words already typed, which is 150.

Step2: For the cell - phone plan problem

The rate of change is the cost per minute, which is $0.09. The initial value is the monthly fee, which is $23.

Step3: For the linear equation $y=-4x + 5$

To find ordered pairs, we can choose values of $x$ and calculate $y$.
When $x = 0$, $y=-4\times0 + 5=5$, so the ordered pair is $(0,5)$.
When $x = 1$, $y=-4\times1+5 = 1$, so the ordered pair is $(1,1)$.
When $x = 2$, $y=-4\times2 + 5=-3$, so the ordered pair is $(2,-3)$. The slope of the line $y=-4x + 5$ is - 4. Since the slope is negative, the function is decreasing.

Step4: For the linear equation $y = 1+5x$

When $x = 0$, $y=1+5\times0=1$, so the ordered pair is $(0,1)$.
When $x = 1$, $y=1 + 5\times1=6$, so the ordered pair is $(1,6)$.
When $x = 2$, $y=1+5\times2=11$, so the ordered pair is $(2,11)$. The slope of the line $y = 1+5x$ is 5. Since the slope is positive, the function is increasing.

Answer:

• Roger's typing:
• Constant rate of change: 75 words per minute
• Initial value: 150 words
• Cell - phone plan:
• Constant rate of change: $0.09 per minute
• Initial value: $23
• For $y=-4x + 5$:
• Three ordered pairs: $(0,5),(1,1),(2,-3)$
• Slope: - 4
• Increasing or Decreasing: Decreasing
• For $y = 1+5x$:
• Three ordered pairs: $(0,1),(1,6),(2,11)$
• Slope: 5
• Increasing or Decreasing: Increasing