Question

At the grocery store, halibut costs $20 per pound and salmon costs $17 per pound. Which of the following situations can be modeled by the equation below? 20(x-5) = 17xA) The cost of x pounds of salmon is $5 less than the cost of x pounds of halibutt B) The cost of x pounds of halibut is $5 less than the cost of x pounds of salmon C) The cost of pounds of salmon is the same as the cost of x-5 pounds of halibutD) The cost of x pounds of halibut is the same as the cost of x-5 pounds of salmon.

Answer 1

Answer: C.

The cost of x pounds of salmon is the same as the cost of x-5 pounds of halibut

`\begin{gathered} \text{halibut }\rightarrow\text{ \$20 and (x-5) pounds} \\ \text{salmon }\rightarrow\text{ \$17 and x pounds} \end{gathered}`

Step-by-step explanation:

Given the model;

`20(x-5)=17x`

where x is the number of pounds.

The cost per pound of Halibut is;

`\text{ \$20}`

So, the corresponding number of pounds of Halibut on the model is;

`x-5`

Also, the cost per pound of Salman is;

`\text{ \$17}`

the corresponding number of pounds of Salmon on the model is;

`x`

Since they are equal to each other, then the cost of x pounds of salmon is the same as the cost of x-5 pounds of halibut

`\begin{gathered} \text{hailbut }\rightarrow\text{ \$20 and (x-5) pounds} \\ \text{salmon }\rightarrow\text{ \$17 and x pounds} \end{gathered}`