QuestionJose wants to spend no more than $\$ 30$ on apples and grapes for the month. Apples cost $\$ 1.50$ per pound, and grapes cost $\$ 2$ per pound. Jose also wants his monthly caloric intake from apples and grapes to be greater than 2,000 calories. He determines that 1 pound of apples has 200 calories and 1 pound of grapes has 300 calories. Let a represent the number of pounds of apples and $g$ represent the number of pounds of grapes.
Which system of inequalities can be used to determine the number of pounds of apples and the number of pounds of grapes that Jose can buy for a month? (a) $\left\{\begin{array}{l}1.5 a+2 g \geq 30 \\ 200 a+300 g>2,000\end{array}\right.$ (b) $\left\{\begin{array}{l}1.5 a+2 g \leq 30 \\ 200 a+300 g>2,000\end{array}\right.$ (C) $\left\{\begin{array}{l}2 a+1.5 g \leq 30 \\ 300 a+200 g>2,000\end{array}\right.$ (d) $\left\{\begin{array}{l}2 a+1.5 g \geq 30 \\ 200 a+300 g<2,000\end{array}\right.$