Answer:
Option A is correct
A 50-page photo album holds 400 photographs.
Step-by-step explanation:
The direct variation states that:
[tex]y \propto x[/tex]
then equation is in the form of:
y = kx where, k is the constant of variation.
As per the statement:
y the number of photographs, varies directly with x, the number of pages in an album
By above definition we have;
[tex]y = kx[/tex]
Where, k is the constant of variation.
Now substitute any given point i.e (7, 56) to solve for k.,
56 = 7k
Divide both sides by 7 we have;
[tex]8 = k[/tex]
or
k = 8
We get an equation:
[tex]y = 8x[/tex] ....[1]
Substitute x = 50 in [1] we have;
[tex]y = 8(50) = 400[/tex]
⇒y = 400
Therefore, the statement describes another point on the graph of this function is:
A 50-page photo album holds 400 photographs.
