Answer:
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope of unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
Let
t ----> the number of years since 2011
y --->the car's value
In this problem the year 2011 represent t=0
so
the year 2015, represent t=4 years (2015-2011)
we have the ordered pairs
(0,25,000) ----> represent the y-intercept
(4,12,000)
<em>Find the slope m</em>
The formula to calculate the slope between two points is equal to
substitute the values
---> is negative because is a decreasing function
we have
----> value of y when the value of x is equal to zero (initial value)
substitute the given values
Answer:
Step-by-step explanation:
3 1/2 x 1 2/3 = 35/6
6 x 5 + 5 = 35/6
Answer: 
.
Step-by-step explanation:
It is given that,
Initial population of a town = 2000
Growth rate = 4% = 0.04 per year
The exponential growth function for population is
where, 
is initial population, r is growth rate and t is number of years.
Substitute 
in the above equation.
Therefore, the required equation is , where P is population after t years.
Answer:
- -3/13 ≈ -1/4
- -6/11 ≈ -1/2
- -7/9 ≈ -3/4
Step-by-step explanation:
We'll drop all the minus signs, since they don't contribute anything but distraction.
When numerators or denominators are relatively large, changing their value by 1 unit will have a relatively small effect on the value of the fraction. For example, ...
3/13 ≈ 3/12 = 1/4
If we compare the decimal values of these fractions, we see that ...
3/13 ≈ 0.230769... (6-digit repeating decimal)
The closest of the offered "reasonable estimate" fractions is 1/4 = 0.25.
__
Likewise, 6/11 ≈ 6/12 = 1/2. In decimal, these fractions are ...
6/11 = 0.54... (2-digit repeat)
1/2 = 0.5
__
We can also increase or decrease both numerator and denominator by the same amount to get a fraction with nearly the same value. This works best when the numbers are larger.
7/9 ≈ 6/8 = 3/4 . . . . . . both numerator and denominator decreased by 1
In decimal, these are ...
7/9 = 0.7... (1-digit repeat)
3/4 = 0.75
A. (3, -4)
3 shows the point’s position on the x-axis, and -4 shows the point’s position on the y-axis
