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Please help!!! Very much appreciated!! Natalie has a budget of $15,000 dollars to spend on tracking devices to study bison. A radio tracker costs $650 and a GPS tracker costs $1400. Natalie wants to buy at least 9 radio trackers and more than 3 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 ≥ 9
y > 3
650x + 1400y ≤ 15000

Which yellow shaded region corresponds to Natalie's possible choices?

Please help!!! Very much appreciated!! Natalie has a budget of $15,000 dollars to-example-1
Please help!!! Very much appreciated!! Natalie has a budget of $15,000 dollars to-example-1
Please help!!! Very much appreciated!! Natalie has a budget of $15,000 dollars to-example-2
Please help!!! Very much appreciated!! Natalie has a budget of $15,000 dollars to-example-3
Please help!!! Very much appreciated!! Natalie has a budget of $15,000 dollars to-example-4
User HKVariant
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5.8k points

1 Answer

6 votes

Answer:

d.)

Plot these inequalities:

  • x ≥ 9
  • y > 3
  • 650x + 1400y ≤ 15000

Graphed below (shaded yellow region):

where all the inequalities meet or touches each other.

Please help!!! Very much appreciated!! Natalie has a budget of $15,000 dollars to-example-1
User Lukas Graf
by
6.3k points