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.
The cat will take 0.8 seconds to catch up with the mouse
Step-by-step explanation:
Given:
The distance between the cat and the mouse = 4 feet
cat's speed = 17 feet per second.
mouse's speed = 12 feet per second
To Find:
how long will it take the cat to catch up with the mouse = ?
Solution:
We know that
distance = speed x time
Rewriting the equation for time we get
time =
now we know that distance is 4 feet
and the speed is 17 -12 = 5 feet per second
Thus the time is
= 
= 0.8 seconds
$3 went to the men and and $2 to the bellboy. That's $5 in total, which is what the bellboy was supposed to give the men. So the $1 is with one of the men.
-6 belongs to a set of real numbers and also a set of rational numbers.
Real numbers are all integers: positive and negative whole numbers. So -6 is a real number.
Rational numbers are all numbers that can be expressed as a fraction i.e numerator/denominator form. So -6 = -6/1 which is a rational number.
