Question

2. Ms. Castro wants to buy some snacks for the week at Shoprite, she wants to buy both apples and oranges. Ms. Castro wants to by no more than 10 pieces of fruit and has to spend less than $22 to where each apple cost $2, and oranges cost $4 per orange. a. Write a system of inequalities to represent Ms. Castro's shopping trip.b. Represent the system of inequalities on the graph to support your answrer.

Answer 1

Step-by-step explanation:

Let's represent apples and oranges with the variables:

• x: amount of apples

,

• y: amount of oranges

The sum of the amount of oranges and apples must be no more than 10:

`x+y\le10`

If each apple cost $2, then x apples cost 2x. Also, if each orange cost $4, then y oranges cost 4y. The sum of these costs must be less than 22:

`2x+4y<22`

Answers:

a. The system is:

`\begin{cases}x+y\le10 \\ 2x+4y<22\end{cases}`

b. The graph:

In blue it's the graph of the first inequality and in green is the graph of the second inequality.