Question

Albert wants to buy two pomegranates and some peaches.·The price of one pomegranates is $1.59.·The price of peaches is $1.19 per pound.Albert wants to no more than $10.00.Which graph represents the number of whole pounds of peaches Albert cab buy

Answer 1

Let:

`\begin{gathered} x=\text{pomegranates} \\ y=\text{peaches} \\ \end{gathered}`

Albert wants to no more than $10.00. therefore:

`\begin{gathered} 1.59x+1.19y\le10 \\ \end{gathered}`

Albert wants to buy two pomegranates, so:

`\begin{gathered} 1.59(2)+1.19y\le10 \\ 3.18+1.19y\le10 \\ \text{Solve for y:} \\ 1.19y\le10-3.18 \\ 1.19y\le6.82 \\ y\le(6.82)/(1.19) \\ y\le5.73 \end{gathered}`