Answer:
Option A.
Step-by-step explanation:
Let
y -----> the height of fudge brownies in centimeters
x ----> teaspoons of baking powder
step 1
Find the slope
The formula to calculate the slope between two points is equal to
take the points
(5,2.15) and (6,2.43)
substitute the values
step 2
Find the equation of the line in point slope form
we have
substitute
Isolate the variable y
Answer:
(A) y= -1.026x^2 + 1016.402x - 162075
Step-by-step explanation:
Here is the options to the question
Which equation best represents the data?
A) y= -1.026x^2 + 1016.402x - 162075
B) y= -1.036x^2 + 1024.771x - 163710
C) y= 298.214x - 66317.667
D) y= 196.2x – 18710
(A) y= -1.026x^2 + 1016.402x - 162075
The data above represents the company's profit based on number of items produced.
To get the equation which best represents the data, we have to substitute the value of x into the given equations
By substituting x=100 in first equation, we have:
y = -1.02x² + 1016.402x – 162075
y = -1.026(100)² + 1016.402(100) – 162075
y = -70500
y = -70500
Option A satisfies.
Using the second equation
When x = 100
y = -1.036x^2 + 1024.771x - 163710
y = -1.036(100)² + 1024.771(100) - 163710
y = -10360 + 102477.1 – 163710
y = -71592.9
Option B doesn’t satisfies
We can also replace the various values of x in the equations to check whether or not they satisfy.
