Question

A teacher records the cost in dollars, y, of purchasing and maintaining a classroom aquarium for x months. Theequation shown models the data.y = 48x + 250What does 250 represent in this situation?A the monthly cost of the aquariumB the purchase cost of the aquariumC the total cost of the aquarium after x monthsD the cost of maintaining the aquarium for x months

Answer 1

B the purchase cost of the aquarium

Step-by-step explanation

we have the equation

`y=48x+250`

this is a linear equation in the form

`\begin{gathered} y=\text{ mx+b} \\ \text{where m is the slope and b is the y-intercept} \end{gathered}`

hence

`\begin{gathered} y=48x+250\rightarrow y=mx+b \\ \text{slope}=48 \\ y-\text{intercept}=250 \end{gathered}`

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