Question

Nathan has a budget of $18,000 dollars to spend on tracking devices

to study moose. A radio tracker costs $750 and a GPS tracker costs
$1500. Nathan wants to buy at least 7 radio trackers and less than 5
GPS trackers.
The following system of inequalities represents this situation, where
x is the number of radio trackers and y is the number of GPS trackers.
x 7
y<5
750x + 1500y = 18000
Which yellow shaded region corresponds to Nathan's possible
choices?

Answer 1

The inequality x ≥ 7 is shown by the solid blue line at x = 7 and is shaded to the right because it is "greater than" inequality. The inequality y < 5 is shown by the dashed green line at y = 5 and is shaded below because it is "less than or equal to" inequality. The inequality 750x + 1500y ≤ 18000 is shown by the solid red line and is shaded below because it is a "less than or equal to" inequality. This shaded area would be the solution set for all three inequalities.

Explanation:

Answer 2

31

Explanation:

1+2=3

3x10=30

30+3=33