Shift y=5x 3 units up
1 answer:
y = 5 x +3 is the final equation when y = 5 x 3 units up
<u>Step-by-step explanation:</u>
In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Here we have , y=5x . Function y = 5x is a straight line passing through origin and having a slope of 5 . Now we need to increment this function 3 units up i.e. y = 5x + 3 , This a straight line passing through x-axis at and y-axis at 3. For your reference , following graph of y= 5x and y = 5x + 3 is attached .
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Answer:
a) 0.5198 computers per household
b) 0.01153 computers
Step-by-step explanation:
Given:
number of computers in a home,
q = 0.3458 ln x - 3.045 ; 10,000 ≤ x ≤ 125,000
here x is mean household income
mean income = $30,000
increasing rate, = $1,000
Now,
a) computers per household are
since,
mean income of $30,000 lies in the range of 10,000 ≤ x ≤ 125,000
thus,
q = 0.3458 ln(30,000) - 3.045
or
q = 0.5198 computers per household
b) Rate of increase in computers i.e
=
or
on substituting the values, we get
or
= 0.01153 computers