Given:
Angelica reads 15 pages of a book each day.
In 10 days, she reads 200 pages.
Assume the relationship is linear.
To find:
The rate of change and initial value.
Solution:
The slope intercept form of a linear function is:
...(i)
Where m is the slope and b is the y-intercept.
Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and 
.
In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).
Putting 
in (i), we get
So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.
Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.
Answer:
Step-by-step explanation:
<u>Plug in x = -4 and find the value:</u>
- f(-4) = 3*(-4)² - 7(-4) - 32
- f(-4) = 48 + 28 - 32
- f(-4) = 44
Answer:
Using the point-slope form:
The equation of the line is given by:
.....[1] where
m is the slope of the line and 
is the point on the line.
As per the statement:
Given: Two points i,e (34, 76) and (42, 91)
First calculate slope(m):
Slope is given by:
Substitute the given values we have;
Now, substitute the value of m and (34, 76) in [1] we have;
Using distributive property: 
Add 76 to both sides we get;
Therefore, the equation of the trend line is:
The value of X is 11 because if you reduce the numbers with greatest common factors twice, then commutative property to record the terms, and calculate to get 11x
Answer:
The probability of choosing two red cards would be 3/8
Step-by-step explanation:
The probability of choosing 1 red card is 10/16; the probability of choosing a second red card would then be 9/15.
P(2 red) = 10/16(9/15) = 90/240 = 3/8.
