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bogdanovich [222]
3 years ago
6

Identify the initial value and rate of change for the graph shown. A coordinate plane graph is shown. A line is graphed that pas

ses through the y-intercept at 4 and through the point 4 comma 1. Initial value: 5.5, rate of change: negative 3 over 4. Initial value: 4, rate of change: negative 3 over 4. Initial value: negative 3 over 4., rate of change: 4 Initial value: negative 3 over 4., rate of change: 5.5 Question 2(Multiple Choice Worth 4 points) (05.03) A delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year. Which function best models the linear relationship? y = 22,000x − 40,000 y = –22,000x + 40,000 y = 22,000x + 40,000 y = 40,000x − 22,000 Question 3(Multiple Choice Worth 4 points) (05.03) Karma baked 48 cookies yesterday. Every hour, she bakes another batch of 12 cookies. What is the rate of change for the scenario described? 4 12 60 48 Question 4(Multiple Choice Worth 4 points) (05.03) What is the rate of change and initial value for the linear relation that includes the points shown in the table? x y 1 10 2 8 3 6 4 4 Initial value: 12, rate of change: −2 Initial value: 8, rate of change: 2 Initial value: 12, rate of change: 2 Initial value 8, rate of change: −2 Question 5(Multiple Choice Worth 4 points) (05.03) Cory's roses grow around 1 inch each month. When he planted them they were 6 inches tall. What is the initial value for the scenario described? 0 1 6 12
Mathematics
1 answer:
egoroff_w [7]3 years ago
8 0
Y int at (0,4).....thru points (4,1)
slope = (1 - 4) / (4 - 0) = -3/4
initial value 4, slope(rate of change) is -3/4 <==
=======================
y = 22,000x + 40,000
=======================
y = 12x + 48
slope(rate of change) = 12
=======================
(1,10)(2,8)
slope = (8-10) / (2-1) = -2/1 = -2

y = mx + b
8 = -2(2) + b
8 = -4 + b
8 + 4 = b
12 = b

slope(rate of change) = -2
initial value = 12
I am not getting any of ur answer choices ...
======================
y = x + 6
initial value = 6
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The equation of the line is: y = 0.6x + 0.6

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

Two points:

We have these following two points in this exercise:

x = -6, y = -3, so (-6,-3)

x = 4, y = 3, so (4,3)

Finding the slope:

Given two points, the slope is given by the change in y divided by the change in x.

Change in y: 3 - (-3) = 3 + 3 = 6

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m = \frac{6}{10} = 0.6

Then

y = 0.6x + b

Finding b:

We replace one of the points in the equation to find b. I will use (4,3).

y = 0.6x + b

3 = 0.6*4 + b

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The equation of the line is: y = 0.6x + 0.6

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