B the purchase cost of the aquarium
Explanation
we have the equation
[tex]y=48x+250[/tex]this is a linear equation in the form
[tex]\begin{gathered} y=\text{ mx+b} \\ \text{where m is the slope and b is the y-intercept} \end{gathered}[/tex]hence
[tex]\begin{gathered} y=48x+250\rightarrow y=mx+b \\ \text{slope}=48 \\ y-\text{intercept}=250 \end{gathered}[/tex]so, if we have the sentence
the cost in dollars, y, of purchasing and maintaining a classroom aquarium for x months
let
cost in dollars = y
as x is the variable, let x for the variable in the text, in this case, what changes is the number of months,so
number of months= x
the factor of x ( 48), is the value for the mainting the classroom ( as we can see it depends on the number of months , x)
so
the monthly cost of the aquarium=48
finally , we have 250, this values is a constant, it does not depend on the number of months, so it is
the purchase cost of the aquarium=250
so,the answer is
B the purchase cost of the aquarium
I hope this helps you
