Graph and interpret applications of slope–intercept
Many real-world applications are modeled by linear equations. We will take a look at a few applications here so you can see how equations written in slope–intercept form relate to real-world situations.
Usually when a linear equation models a real-world situation, different letters are used for the variables, instead of
x and
y . The variable names remind us of what quantities are being measured.
The equation
is used to convert temperatures,
, on the Celsius scale to temperatures,
, on the Fahrenheit scale.
ⓐ Find the Fahrenheit temperature for a Celsius temperature of 0.
ⓑ Find the Fahrenheit temperature for a Celsius temperature of 20.
ⓒ Interpret the slope and
F -intercept of the equation.
ⓓ Graph the equation.
Solution
ⓐ
ⓑ
ⓒ Interpret the slope and
F -intercept of the equation.
Even though this equation uses
and
, it is still in slope–intercept form.
The slope,
, means that the temperature Fahrenheit (
F ) increases 9 degrees when the temperature Celsius (
C ) increases 5 degrees.
The
F -intercept means that when the temperature is
on the Celsius scale, it is
on the Fahrenheit scale.
ⓓ Graph the equation.
We’ll need to use a larger scale than our usual. Start at the
F -intercept
then count out the rise of 9 and the run of 5 to get a second point. See
[link] .
The equation
is used to estimate a woman’s height in inches,
h , based on her shoe size,
s .
ⓐ Estimate the height of a child who wears women’s shoe size 0.
ⓑ Estimate the height of a woman with shoe size 8.
ⓒ Interpret the slope and
h -intercept of the equation.
ⓓ Graph the equation.
ⓐ 50 inches
ⓑ 66 inches
ⓒ The slope, 2, means that the height,
h , increases by 2 inches when the shoe size,
s , increases by 1. The
h -intercept means that when the shoe size is 0, the height is 50 inches.
The equation
is used to estimate the temperature in degrees Fahrenheit,
T , based on the number of cricket chirps,
n , in one minute.
ⓐ Estimate the temperature when there are no chirps.
ⓑ Estimate the temperature when the number of chirps in one minute is 100.
ⓒ Interpret the slope and
T -intercept of the equation.
ⓓ Graph the equation.
ⓐ 40 degrees
ⓑ 65 degrees
ⓒ The slope,
, means that the temperature Fahrenheit (
F ) increases 1 degree when the number of chirps,
n , increases by 4. The
T -intercept means that when the number of chirps is 0, the temperature is
.
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life