91影视

Let

$$\begin{gathered} x=numberofdonuts \\ y=numberofenergydrinks \end{gathered}$$

Tension has to take $1000$calories where each donut has $360calories$and each energy drink has $110$calories. So,

role="math" localid="1644502350452" $360x+110y鈮�1000$

$\$0.75$for donut and $\$2$for energy drink must not greater than $\$25$. So,

$0.75x+2y鈮�25$

The number of donut is equal or more than zero. So,

$x鈮�0$

The number of energy drinks is equal or more than zero. So,

$y鈮�0$

The obtained system of inequalities is:

role="math" localid="1644503142383" $\left\{\begin{array}{l}360x+110y鈮�1000\\ 0.75x+2y鈮�25\\ x鈮�0\\ y鈮�0\end{array}\right.$

The graph for the obtained system of inequalities is:

To determine if he can $8$donuts and $4$energy drinks and satisfy his caloric needs. we look at the graph to see if the point $\left(8,4\right)$is in the solution region (dark blue).

Yes, $\left(8,4\right)$is in the solution region. So Tension can buy$8$donuts and$4$energy drinks.

To determine if he can $1$donuts and $3$energy drinks and satisfy his caloric needs. we look at the graph to see if the point $\left(1,3\right)$ is in the solution region (dark blue).

No, $\left(1,3\right)$is not in the solution region. So Tension cannot buy $1$donut and $3$energy drinks.