Question

2cuestionAngelique is buying towels for her apartment. She finds some green towels, x, that cost $5 each and bluetowels, y, that cost $9 each. She wants to buy at least 4 towels, but does not want to spend more than$38. How many of each towel can she purchase?Enter the system of inequalities that represents the situation. Then select the graph of the system andselect one possible solution.The system of inequalities

Answer 1

x: green towels (each one cost $5)

y: blue towels (each one cost $9)

She wants to buy at least 4 towels:

`x+y\ge4`

She does not want to spend more than $38:

`5x+9y\leq38`

The sytem of inequalitites is:

`\begin{gathered} x+y\ge4 \\ 5x+9y\leq38 \end{gathered}`

Graph: First inequality in red, second inequality in blue

Solution: Area shaded of both colours