Of 12000 applicants to Carver college, 1/3 were accepted and 3/8 of those decided to attend. How many of the original applicants
1 answer:
You might be interested in
Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula . We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula and substitute the x and y values of the given points into it. Then, simplify to find the slope, or
:
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula and substitute values for
,
, and
. From there, we can convert the equation into slope-intercept form.
Since represents the slope, substitute 1 in its place. Since
and
represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:
The graph is attached and the answer to the function g(x) = (1/3)x²
Option A is the right answer.
<h3>What is a Function ?</h3>A function is a mathematical statement that relates a dependent variable and an independent variable.
It is given that
f(x) = x²
It has been asked to determine the equation of g(x)
It can be seen from the graph the the vertex is same just the graph is scaled.
The point (3,3) is of g(x) , when the value of y at at x =3 is 9
Therefore the scale factor is 1/3
And we can do trial and error on the basis of the options given ,
The graph is attached and the answer to the function g(x) = (1/3)x²
Option A is the right answer.
To know more about Function
#SPJ1
