Question

Hellppp
step for step please ​

Answer 1

`\left\{\begin{array}{l}x\ge 0\\ \\y\ge 0\\ \\x+y\ge 20\\ \\3.5x+5y\le 80\end{array}\right.`

Explanation:

Let x be the number of small candles and y be the number of large candles.

Santhi needs to buy at least 20 candles, so

`x+y\ge 20`

Small candles:

Cost of 1 small candle = $3.50

Cost of x small candles = $3.50x

Large candles:

Cost of 1 large candle = $5.00

Cost of y large candles = $5.00y

Total cost of all candles:

$3.50x + $5.00y

Thus,

`3.5x+5y\le 80`

Using Desmos, plot the system of two inequalities:

`\left\{\begin{array}{l}x+y\ge 20\\ \\3.5x+5y\le 80\end{array}\right.`